Solve for y
y=0
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4y-3-3y+5=2-4y
Combine 6y and -2y to get 4y.
y-3+5=2-4y
Combine 4y and -3y to get y.
y+2=2-4y
Add -3 and 5 to get 2.
y+2+4y=2
Add 4y to both sides.
5y+2=2
Combine y and 4y to get 5y.
5y=2-2
Subtract 2 from both sides.
5y=0
Subtract 2 from 2 to get 0.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, y must be equal to 0.
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}