1.5(y-13)=1.2-y

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Solution for 1.5(y-13)=1.2-y equation: 


Simplifying
1.5(y + -13) = 1.2 + -1y

Reorder the terms:
1.5(-13 + y) = 1.2 + -1y
(-13 * 1.5 + y * 1.5) = 1.2 + -1y
(-19.5 + 1.5y) = 1.2 + -1y

Solving
-19.5 + 1.5y = 1.2 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-19.5 + 1.5y + y = 1.2 + -1y + y

Combine like terms: 1.5y + y = 2.5y
-19.5 + 2.5y = 1.2 + -1y + y

Combine like terms: -1y + y = 0
-19.5 + 2.5y = 1.2 + 0
-19.5 + 2.5y = 1.2

Add '19.5' to each side of the equation.
-19.5 + 19.5 + 2.5y = 1.2 + 19.5

Combine like terms: -19.5 + 19.5 = 0.0
0.0 + 2.5y = 1.2 + 19.5
2.5y = 1.2 + 19.5

Combine like terms: 1.2 + 19.5 = 20.7
2.5y = 20.7

Divide each side by '2.5'.
y = 8.28

Simplifying
y = 8.28

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