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

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


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

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

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

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

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

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

Remove parenthesis around (2y)
6 + 8y = -3 * 2y + 2 + 13y

Multiply -3 * 2
6 + 8y = -6y + 2 + 13y

Reorder the terms:
6 + 8y = 2 + -6y + 13y

Combine like terms: -6y + 13y = 7y
6 + 8y = 2 + 7y

Solving
6 + 8y = 2 + 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.
6 + 8y + -7y = 2 + 7y + -7y

Combine like terms: 8y + -7y = 1y
6 + 1y = 2 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + 1y = 2 + 0
6 + 1y = 2

Add '-6' to each side of the equation.
6 + -6 + 1y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 2 + -6
1y = 2 + -6

Combine like terms: 2 + -6 = -4
1y = -4

Divide each side by '1'.
y = -4

Simplifying
y = -4

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