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

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


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

Reorder the terms:
6(2 + y) + -7 = 2(y + -7)
(2 * 6 + y * 6) + -7 = 2(y + -7)
(12 + 6y) + -7 = 2(y + -7)

Reorder the terms:
12 + -7 + 6y = 2(y + -7)

Combine like terms: 12 + -7 = 5
5 + 6y = 2(y + -7)

Reorder the terms:
5 + 6y = 2(-7 + y)
5 + 6y = (-7 * 2 + y * 2)
5 + 6y = (-14 + 2y)

Solving
5 + 6y = -14 + 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.
5 + 6y + -2y = -14 + 2y + -2y

Combine like terms: 6y + -2y = 4y
5 + 4y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 4y = -14 + 0
5 + 4y = -14

Add '-5' to each side of the equation.
5 + -5 + 4y = -14 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = -14 + -5
4y = -14 + -5

Combine like terms: -14 + -5 = -19
4y = -19

Divide each side by '4'.
y = -4.75

Simplifying
y = -4.75

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