(3y-5)+5(y+4)=135

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Solution for (3y-5)+5(y+4)=135 equation:


Simplifying
(3y + -5) + 5(y + 4) = 135

Reorder the terms:
(-5 + 3y) + 5(y + 4) = 135

Remove parenthesis around (-5 + 3y)
-5 + 3y + 5(y + 4) = 135

Reorder the terms:
-5 + 3y + 5(4 + y) = 135
-5 + 3y + (4 * 5 + y * 5) = 135
-5 + 3y + (20 + 5y) = 135

Reorder the terms:
-5 + 20 + 3y + 5y = 135

Combine like terms: -5 + 20 = 15
15 + 3y + 5y = 135

Combine like terms: 3y + 5y = 8y
15 + 8y = 135

Solving
15 + 8y = 135

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 8y = 135 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 135 + -15
8y = 135 + -15

Combine like terms: 135 + -15 = 120
8y = 120

Divide each side by '8'.
y = 15

Simplifying
y = 15

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