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

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


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

Reorder the terms:
-6(3 + -3y) + -7y = 2(y + -7) + -1
(3 * -6 + -3y * -6) + -7y = 2(y + -7) + -1
(-18 + 18y) + -7y = 2(y + -7) + -1

Combine like terms: 18y + -7y = 11y
-18 + 11y = 2(y + -7) + -1

Reorder the terms:
-18 + 11y = 2(-7 + y) + -1
-18 + 11y = (-7 * 2 + y * 2) + -1
-18 + 11y = (-14 + 2y) + -1

Reorder the terms:
-18 + 11y = -14 + -1 + 2y

Combine like terms: -14 + -1 = -15
-18 + 11y = -15 + 2y

Solving
-18 + 11y = -15 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-18 + 11y + -2y = -15 + 2y + -2y

Combine like terms: 11y + -2y = 9y
-18 + 9y = -15 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 9y = -15 + 0
-18 + 9y = -15

Add '18' to each side of the equation.
-18 + 18 + 9y = -15 + 18

Combine like terms: -18 + 18 = 0
0 + 9y = -15 + 18
9y = -15 + 18

Combine like terms: -15 + 18 = 3
9y = 3

Divide each side by '9'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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