3(1.2y+5)=2(2.5y-7)+1

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Solution for 3(1.2y+5)=2(2.5y-7)+1 equation: 


Simplifying
3(1.2y + 5) = 2(2.5y + -7) + 1

Reorder the terms:
3(5 + 1.2y) = 2(2.5y + -7) + 1
(5 * 3 + 1.2y * 3) = 2(2.5y + -7) + 1
(15 + 3.6y) = 2(2.5y + -7) + 1

Reorder the terms:
15 + 3.6y = 2(-7 + 2.5y) + 1
15 + 3.6y = (-7 * 2 + 2.5y * 2) + 1
15 + 3.6y = (-14 + 5y) + 1

Reorder the terms:
15 + 3.6y = -14 + 1 + 5y

Combine like terms: -14 + 1 = -13
15 + 3.6y = -13 + 5y

Solving
15 + 3.6y = -13 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
15 + 3.6y + -5y = -13 + 5y + -5y

Combine like terms: 3.6y + -5y = -1.4y
15 + -1.4y = -13 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -1.4y = -13 + 0
15 + -1.4y = -13

Add '-15' to each side of the equation.
15 + -15 + -1.4y = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -1.4y = -13 + -15
-1.4y = -13 + -15

Combine like terms: -13 + -15 = -28
-1.4y = -28

Divide each side by '-1.4'.
y = 20

Simplifying
y = 20

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