Solve for y
y=-3
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4y+\left(y+5\right)\times 2=y-5
Variable y cannot be equal to any of the values -5,5 since division by zero is not defined. Multiply both sides of the equation by \left(y-5\right)\left(y+5\right), the least common multiple of y^{2}-25,y-5,y+5.
4y+2y+10=y-5
Use the distributive property to multiply y+5 by 2.
6y+10=y-5
Combine 4y and 2y to get 6y.
6y+10-y=-5
Subtract y from both sides.
5y+10=-5
Combine 6y and -y to get 5y.
5y=-5-10
Subtract 10 from both sides.
5y=-15
Subtract 10 from -5 to get -15.
y=\frac{-15}{5}
Divide both sides by 5.
y=-3
Divide -15 by 5 to get -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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