-3(y-3y)+7=-2(5y-y)+8+13y

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Solution for -3(y-3y)+7=-2(5y-y)+8+13y equation:


Simplifying
-3(y + -3y) + 7 = -2(5y + -1y) + 8 + 13y

Combine like terms: y + -3y = -2y
-3(-2y) + 7 = -2(5y + -1y) + 8 + 13y

Remove parenthesis around (-2y)
-3 * -2y + 7 = -2(5y + -1y) + 8 + 13y

Multiply -3 * -2
6y + 7 = -2(5y + -1y) + 8 + 13y

Reorder the terms:
7 + 6y = -2(5y + -1y) + 8 + 13y

Combine like terms: 5y + -1y = 4y
7 + 6y = -2(4y) + 8 + 13y

Remove parenthesis around (4y)
7 + 6y = -2 * 4y + 8 + 13y

Multiply -2 * 4
7 + 6y = -8y + 8 + 13y

Reorder the terms:
7 + 6y = 8 + -8y + 13y

Combine like terms: -8y + 13y = 5y
7 + 6y = 8 + 5y

Solving
7 + 6y = 8 + 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.
7 + 6y + -5y = 8 + 5y + -5y

Combine like terms: 6y + -5y = 1y
7 + 1y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + 1y = 8 + 0
7 + 1y = 8

Add '-7' to each side of the equation.
7 + -7 + 1y = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 8 + -7
1y = 8 + -7

Combine like terms: 8 + -7 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1

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