-3y-5(-3y-2)=-5-5(4-y)

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Solution for -3y-5(-3y-2)=-5-5(4-y) equation: 


Simplifying
-3y + -5(-3y + -2) = -5 + -5(4 + -1y)

Reorder the terms:
-3y + -5(-2 + -3y) = -5 + -5(4 + -1y)
-3y + (-2 * -5 + -3y * -5) = -5 + -5(4 + -1y)
-3y + (10 + 15y) = -5 + -5(4 + -1y)

Reorder the terms:
10 + -3y + 15y = -5 + -5(4 + -1y)

Combine like terms: -3y + 15y = 12y
10 + 12y = -5 + -5(4 + -1y)
10 + 12y = -5 + (4 * -5 + -1y * -5)
10 + 12y = -5 + (-20 + 5y)

Combine like terms: -5 + -20 = -25
10 + 12y = -25 + 5y

Solving
10 + 12y = -25 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 12y + -5y = -25 + 5y + -5y

Combine like terms: 12y + -5y = 7y
10 + 7y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 7y = -25 + 0
10 + 7y = -25

Add '-10' to each side of the equation.
10 + -10 + 7y = -25 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = -25 + -10
7y = -25 + -10

Combine like terms: -25 + -10 = -35
7y = -35

Divide each side by '7'.
y = -5

Simplifying
y = -5

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