-5(y-3y)+5=-6(2y-y)+8+15y

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Solution for -5(y-3y)+5=-6(2y-y)+8+15y equation:


Simplifying
-5(y + -3y) + 5 = -6(2y + -1y) + 8 + 15y

Combine like terms: y + -3y = -2y
-5(-2y) + 5 = -6(2y + -1y) + 8 + 15y

Remove parenthesis around (-2y)
-5 * -2y + 5 = -6(2y + -1y) + 8 + 15y

Multiply -5 * -2
10y + 5 = -6(2y + -1y) + 8 + 15y

Reorder the terms:
5 + 10y = -6(2y + -1y) + 8 + 15y

Combine like terms: 2y + -1y = 1y
5 + 10y = -6(1y) + 8 + 15y

Remove parenthesis around (1y)
5 + 10y = -6 * 1y + 8 + 15y

Multiply -6 * 1
5 + 10y = -6y + 8 + 15y

Reorder the terms:
5 + 10y = 8 + -6y + 15y

Combine like terms: -6y + 15y = 9y
5 + 10y = 8 + 9y

Solving
5 + 10y = 8 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
5 + 10y + -9y = 8 + 9y + -9y

Combine like terms: 10y + -9y = 1y
5 + 1y = 8 + 9y + -9y

Combine like terms: 9y + -9y = 0
5 + 1y = 8 + 0
5 + 1y = 8

Add '-5' to each side of the equation.
5 + -5 + 1y = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 8 + -5
1y = 8 + -5

Combine like terms: 8 + -5 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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