-7(-2y+1)-2y=3(1y-6)-1

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Solution for -7(-2y+1)-2y=3(1y-6)-1 equation: 


Simplifying
-7(-2y + 1) + -2y = 3(1y + -6) + -1

Reorder the terms:
-7(1 + -2y) + -2y = 3(1y + -6) + -1
(1 * -7 + -2y * -7) + -2y = 3(1y + -6) + -1
(-7 + 14y) + -2y = 3(1y + -6) + -1

Combine like terms: 14y + -2y = 12y
-7 + 12y = 3(1y + -6) + -1

Reorder the terms:
-7 + 12y = 3(-6 + 1y) + -1
-7 + 12y = (-6 * 3 + 1y * 3) + -1
-7 + 12y = (-18 + 3y) + -1

Reorder the terms:
-7 + 12y = -18 + -1 + 3y

Combine like terms: -18 + -1 = -19
-7 + 12y = -19 + 3y

Solving
-7 + 12y = -19 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-7 + 12y + -3y = -19 + 3y + -3y

Combine like terms: 12y + -3y = 9y
-7 + 9y = -19 + 3y + -3y

Combine like terms: 3y + -3y = 0
-7 + 9y = -19 + 0
-7 + 9y = -19

Add '7' to each side of the equation.
-7 + 7 + 9y = -19 + 7

Combine like terms: -7 + 7 = 0
0 + 9y = -19 + 7
9y = -19 + 7

Combine like terms: -19 + 7 = -12
9y = -12

Divide each side by '9'.
y = -1.333333333

Simplifying
y = -1.333333333

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