-2(y-4y)+2=-2(6y-y)+15y

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Solution for -2(y-4y)+2=-2(6y-y)+15y equation: 


Simplifying
-2(y + -4y) + 2 = -2(6y + -1y) + 15y

Combine like terms: y + -4y = -3y
-2(-3y) + 2 = -2(6y + -1y) + 15y

Remove parenthesis around (-3y)
-2 * -3y + 2 = -2(6y + -1y) + 15y

Multiply -2 * -3
6y + 2 = -2(6y + -1y) + 15y

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

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

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

Multiply -2 * 5
2 + 6y = -10y + 15y

Combine like terms: -10y + 15y = 5y
2 + 6y = 5y

Solving
2 + 6y = 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.
2 + 6y + -5y = 5y + -5y

Combine like terms: 6y + -5y = 1y
2 + 1y = 5y + -5y

Combine like terms: 5y + -5y = 0
2 + 1y = 0

Add '-2' to each side of the equation.
2 + -2 + 1y = 0 + -2

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

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

Divide each side by '1'.
y = -2

Simplifying
y = -2

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