9(y+1)+6=29(y+3)

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Solution for 9(y+1)+6=29(y+3) equation: 


Simplifying
9(y + 1) + 6 = 29(y + 3)

Reorder the terms:
9(1 + y) + 6 = 29(y + 3)
(1 * 9 + y * 9) + 6 = 29(y + 3)
(9 + 9y) + 6 = 29(y + 3)

Reorder the terms:
9 + 6 + 9y = 29(y + 3)

Combine like terms: 9 + 6 = 15
15 + 9y = 29(y + 3)

Reorder the terms:
15 + 9y = 29(3 + y)
15 + 9y = (3 * 29 + y * 29)
15 + 9y = (87 + 29y)

Solving
15 + 9y = 87 + 29y

Solving for variable 'y'.

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

Add '-29y' to each side of the equation.
15 + 9y + -29y = 87 + 29y + -29y

Combine like terms: 9y + -29y = -20y
15 + -20y = 87 + 29y + -29y

Combine like terms: 29y + -29y = 0
15 + -20y = 87 + 0
15 + -20y = 87

Add '-15' to each side of the equation.
15 + -15 + -20y = 87 + -15

Combine like terms: 15 + -15 = 0
0 + -20y = 87 + -15
-20y = 87 + -15

Combine like terms: 87 + -15 = 72
-20y = 72

Divide each side by '-20'.
y = -3.6

Simplifying
y = -3.6

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