-2(y-5y)+9=-6(2y-y)+3+13y

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Solution for -2(y-5y)+9=-6(2y-y)+3+13y equation:


Simplifying
-2(y + -5y) + 9 = -6(2y + -1y) + 3 + 13y

Combine like terms: y + -5y = -4y
-2(-4y) + 9 = -6(2y + -1y) + 3 + 13y

Remove parenthesis around (-4y)
-2 * -4y + 9 = -6(2y + -1y) + 3 + 13y

Multiply -2 * -4
8y + 9 = -6(2y + -1y) + 3 + 13y

Reorder the terms:
9 + 8y = -6(2y + -1y) + 3 + 13y

Combine like terms: 2y + -1y = 1y
9 + 8y = -6(1y) + 3 + 13y

Remove parenthesis around (1y)
9 + 8y = -6 * 1y + 3 + 13y

Multiply -6 * 1
9 + 8y = -6y + 3 + 13y

Reorder the terms:
9 + 8y = 3 + -6y + 13y

Combine like terms: -6y + 13y = 7y
9 + 8y = 3 + 7y

Solving
9 + 8y = 3 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
9 + 8y + -7y = 3 + 7y + -7y

Combine like terms: 8y + -7y = 1y
9 + 1y = 3 + 7y + -7y

Combine like terms: 7y + -7y = 0
9 + 1y = 3 + 0
9 + 1y = 3

Add '-9' to each side of the equation.
9 + -9 + 1y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = 3 + -9
1y = 3 + -9

Combine like terms: 3 + -9 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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