Solve for y
y=6
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\left(y-2\right)\times 8=\left(y+10\right)\times 2
Variable y cannot be equal to any of the values -10,2 since division by zero is not defined. Multiply both sides of the equation by \left(y-2\right)\left(y+10\right), the least common multiple of y+10,y-2.
8y-16=\left(y+10\right)\times 2
Use the distributive property to multiply y-2 by 8.
8y-16=2y+20
Use the distributive property to multiply y+10 by 2.
8y-16-2y=20
Subtract 2y from both sides.
6y-16=20
Combine 8y and -2y to get 6y.
6y=20+16
Add 16 to both sides.
6y=36
Add 20 and 16 to get 36.
y=\frac{36}{6}
Divide both sides by 6.
y=6
Divide 36 by 6 to get 6.
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