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

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


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

Reorder the terms:
5(2y + 3(4 + 3y)) = 5
5(2y + (4 * 3 + 3y * 3)) = 5
5(2y + (12 + 9y)) = 5

Reorder the terms:
5(12 + 2y + 9y) = 5

Combine like terms: 2y + 9y = 11y
5(12 + 11y) = 5
(12 * 5 + 11y * 5) = 5
(60 + 55y) = 5

Solving
60 + 55y = 5

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + 55y = 5 + -60

Combine like terms: 60 + -60 = 0
0 + 55y = 5 + -60
55y = 5 + -60

Combine like terms: 5 + -60 = -55
55y = -55

Divide each side by '55'.
y = -1

Simplifying
y = -1

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