7 y - 2 - ( 5 y - 5,5 ) + y - ( 4 + 3 y ) =
Evaluate
-0,5
Factor
-0,5
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7y-2-5y-\left(-5,5\right)+y-\left(4+3y\right)
To find the opposite of 5y-5,5, find the opposite of each term.
7y-2-5y+5,5+y-\left(4+3y\right)
The opposite of -5,5 is 5,5.
2y-2+5,5+y-\left(4+3y\right)
Combine 7y and -5y to get 2y.
2y+3,5+y-\left(4+3y\right)
Add -2 and 5,5 to get 3,5.
3y+3,5-\left(4+3y\right)
Combine 2y and y to get 3y.
3y+3,5-4-3y
To find the opposite of 4+3y, find the opposite of each term.
3y-0,5-3y
Subtract 4 from 3,5 to get -0,5.
-0,5
Combine 3y and -3y to get 0.
Examples
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y = 3x + 4
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\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}