-3(y-5)=2y-10

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Solution for -3(y-5)=2y-10 equation: 


Simplifying
-3(y + -5) = 2y + -10

Reorder the terms:
-3(-5 + y) = 2y + -10
(-5 * -3 + y * -3) = 2y + -10
(15 + -3y) = 2y + -10

Reorder the terms:
15 + -3y = -10 + 2y

Solving
15 + -3y = -10 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
15 + -3y + -2y = -10 + 2y + -2y

Combine like terms: -3y + -2y = -5y
15 + -5y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + -5y = -10 + 0
15 + -5y = -10

Add '-15' to each side of the equation.
15 + -15 + -5y = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -5y = -10 + -15
-5y = -10 + -15

Combine like terms: -10 + -15 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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