(6y+22)-7=-9(1+y)

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Solution for (6y+22)-7=-9(1+y) equation:


Simplifying
(6y + 22) + -7 = -9(1 + y)

Reorder the terms:
(22 + 6y) + -7 = -9(1 + y)

Remove parenthesis around (22 + 6y)
22 + 6y + -7 = -9(1 + y)

Reorder the terms:
22 + -7 + 6y = -9(1 + y)

Combine like terms: 22 + -7 = 15
15 + 6y = -9(1 + y)
15 + 6y = (1 * -9 + y * -9)
15 + 6y = (-9 + -9y)

Solving
15 + 6y = -9 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
15 + 6y + 9y = -9 + -9y + 9y

Combine like terms: 6y + 9y = 15y
15 + 15y = -9 + -9y + 9y

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

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

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

Combine like terms: -9 + -15 = -24
15y = -24

Divide each side by '15'.
y = -1.6

Simplifying
y = -1.6

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