Solve for y
y=5
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\left(y-1\right)\times 4-\left(y+1\right)\times 3=-2
Variable y cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(y-1\right)\left(y+1\right), the least common multiple of y+1,y-1,y^{2}-1.
4y-4-\left(y+1\right)\times 3=-2
Use the distributive property to multiply y-1 by 4.
4y-4-\left(3y+3\right)=-2
Use the distributive property to multiply y+1 by 3.
4y-4-3y-3=-2
To find the opposite of 3y+3, find the opposite of each term.
y-4-3=-2
Combine 4y and -3y to get y.
y-7=-2
Subtract 3 from -4 to get -7.
y=-2+7
Add 7 to both sides.
y=5
Add -2 and 7 to get 5.
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}