3(1.2y+5)=2(2.25y-7+1)

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Solution for 3(1.2y+5)=2(2.25y-7+1) equation: 


Simplifying
3(1.2y + 5) = 2(2.25y + -7 + 1)

Reorder the terms:
3(5 + 1.2y) = 2(2.25y + -7 + 1)
(5 * 3 + 1.2y * 3) = 2(2.25y + -7 + 1)
(15 + 3.6y) = 2(2.25y + -7 + 1)

Reorder the terms:
15 + 3.6y = 2(-7 + 1 + 2.25y)

Combine like terms: -7 + 1 = -6
15 + 3.6y = 2(-6 + 2.25y)
15 + 3.6y = (-6 * 2 + 2.25y * 2)
15 + 3.6y = (-12 + 4.5y)

Solving
15 + 3.6y = -12 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
15 + 3.6y + -4.5y = -12 + 4.5y + -4.5y

Combine like terms: 3.6y + -4.5y = -0.9y
15 + -0.9y = -12 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
15 + -0.9y = -12 + 0.0
15 + -0.9y = -12

Add '-15' to each side of the equation.
15 + -15 + -0.9y = -12 + -15

Combine like terms: 15 + -15 = 0
0 + -0.9y = -12 + -15
-0.9y = -12 + -15

Combine like terms: -12 + -15 = -27
-0.9y = -27

Divide each side by '-0.9'.
y = 30

Simplifying
y = 30

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