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

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


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

Reorder the terms:
6(2 + y) + 2y = 15 + -1(y + 4)
(2 * 6 + y * 6) + 2y = 15 + -1(y + 4)
(12 + 6y) + 2y = 15 + -1(y + 4)

Combine like terms: 6y + 2y = 8y
12 + 8y = 15 + -1(y + 4)

Reorder the terms:
12 + 8y = 15 + -1(4 + y)
12 + 8y = 15 + (4 * -1 + y * -1)
12 + 8y = 15 + (-4 + -1y)

Combine like terms: 15 + -4 = 11
12 + 8y = 11 + -1y

Solving
12 + 8y = 11 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
12 + 8y + y = 11 + -1y + y

Combine like terms: 8y + y = 9y
12 + 9y = 11 + -1y + y

Combine like terms: -1y + y = 0
12 + 9y = 11 + 0
12 + 9y = 11

Add '-12' to each side of the equation.
12 + -12 + 9y = 11 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 11 + -12
9y = 11 + -12

Combine like terms: 11 + -12 = -1
9y = -1

Divide each side by '9'.
y = -0.1111111111

Simplifying
y = -0.1111111111

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