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25y-2x
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25y-2x
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4x-6y-\left(8\left(x-4y\right)-\left(2x-y\right)\right)
Use the distributive property to multiply 2 by 2x-3y.
4x-6y-\left(8x-32y-\left(2x-y\right)\right)
Use the distributive property to multiply 8 by x-4y.
4x-6y-\left(8x-32y-2x-\left(-y\right)\right)
To find the opposite of 2x-y, find the opposite of each term.
4x-6y-\left(8x-32y-2x+y\right)
The opposite of -y is y.
4x-6y-\left(6x-32y+y\right)
Combine 8x and -2x to get 6x.
4x-6y-\left(6x-31y\right)
Combine -32y and y to get -31y.
4x-6y-6x-\left(-31y\right)
To find the opposite of 6x-31y, find the opposite of each term.
4x-6y-6x+31y
The opposite of -31y is 31y.
-2x-6y+31y
Combine 4x and -6x to get -2x.
-2x+25y
Combine -6y and 31y to get 25y.
4x-6y-\left(8\left(x-4y\right)-\left(2x-y\right)\right)
Use the distributive property to multiply 2 by 2x-3y.
4x-6y-\left(8x-32y-\left(2x-y\right)\right)
Use the distributive property to multiply 8 by x-4y.
4x-6y-\left(8x-32y-2x-\left(-y\right)\right)
To find the opposite of 2x-y, find the opposite of each term.
4x-6y-\left(8x-32y-2x+y\right)
The opposite of -y is y.
4x-6y-\left(6x-32y+y\right)
Combine 8x and -2x to get 6x.
4x-6y-\left(6x-31y\right)
Combine -32y and y to get -31y.
4x-6y-6x-\left(-31y\right)
To find the opposite of 6x-31y, find the opposite of each term.
4x-6y-6x+31y
The opposite of -31y is 31y.
-2x-6y+31y
Combine 4x and -6x to get -2x.
-2x+25y
Combine -6y and 31y to get 25y.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}