5y-3=(1.5y+6)2

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Solution for 5y-3=(1.5y+6)2 equation:


Simplifying
5y + -3 = (1.5y + 6) * 2

Reorder the terms:
-3 + 5y = (1.5y + 6) * 2

Reorder the terms:
-3 + 5y = (6 + 1.5y) * 2

Reorder the terms for easier multiplication:
-3 + 5y = 2(6 + 1.5y)
-3 + 5y = (6 * 2 + 1.5y * 2)
-3 + 5y = (12 + 3y)

Solving
-3 + 5y = 12 + 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.
-3 + 5y + -3y = 12 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-3 + 2y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + 2y = 12 + 0
-3 + 2y = 12

Add '3' to each side of the equation.
-3 + 3 + 2y = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 12 + 3
2y = 12 + 3

Combine like terms: 12 + 3 = 15
2y = 15

Divide each side by '2'.
y = 7.5

Simplifying
y = 7.5

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