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

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Solution for -6(y-2y)+3=-2(6y-y)+1+15y equation:


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

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

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

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

Reorder the terms:
3 + 6y = -2(6y + -1y) + 1 + 15y

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

Remove parenthesis around (5y)
3 + 6y = -2 * 5y + 1 + 15y

Multiply -2 * 5
3 + 6y = -10y + 1 + 15y

Reorder the terms:
3 + 6y = 1 + -10y + 15y

Combine like terms: -10y + 15y = 5y
3 + 6y = 1 + 5y

Solving
3 + 6y = 1 + 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.
3 + 6y + -5y = 1 + 5y + -5y

Combine like terms: 6y + -5y = 1y
3 + 1y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + 1y = 1 + 0
3 + 1y = 1

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

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

Combine like terms: 1 + -3 = -2
1y = -2

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

Simplifying
y = -2

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