5(y+1.5)=2y+y+11.5

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Solution for 5(y+1.5)=2y+y+11.5 equation:


Simplifying
5(y + 1.5) = 2y + y + 11.5

Reorder the terms:
5(1.5 + y) = 2y + y + 11.5
(1.5 * 5 + y * 5) = 2y + y + 11.5
(7.5 + 5y) = 2y + y + 11.5

Reorder the terms:
7.5 + 5y = 11.5 + 2y + y

Combine like terms: 2y + y = 3y
7.5 + 5y = 11.5 + 3y

Solving
7.5 + 5y = 11.5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
7.5 + 5y + -3y = 11.5 + 3y + -3y

Combine like terms: 5y + -3y = 2y
7.5 + 2y = 11.5 + 3y + -3y

Combine like terms: 3y + -3y = 0
7.5 + 2y = 11.5 + 0
7.5 + 2y = 11.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 2y = 11.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2y = 11.5 + -7.5
2y = 11.5 + -7.5

Combine like terms: 11.5 + -7.5 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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