-3(y-4)+2(5+2y)=29

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Solution for -3(y-4)+2(5+2y)=29 equation: 


Simplifying
-3(y + -4) + 2(5 + 2y) = 29

Reorder the terms:
-3(-4 + y) + 2(5 + 2y) = 29
(-4 * -3 + y * -3) + 2(5 + 2y) = 29
(12 + -3y) + 2(5 + 2y) = 29
12 + -3y + (5 * 2 + 2y * 2) = 29
12 + -3y + (10 + 4y) = 29

Reorder the terms:
12 + 10 + -3y + 4y = 29

Combine like terms: 12 + 10 = 22
22 + -3y + 4y = 29

Combine like terms: -3y + 4y = 1y
22 + 1y = 29

Solving
22 + 1y = 29

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + 1y = 29 + -22

Combine like terms: 22 + -22 = 0
0 + 1y = 29 + -22
1y = 29 + -22

Combine like terms: 29 + -22 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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