1.5(y-8)=1.2-y

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Solution for 1.5(y-8)=1.2-y equation: 


Simplifying
1.5(y + -8) = 1.2 + -1y

Reorder the terms:
1.5(-8 + y) = 1.2 + -1y
(-8 * 1.5 + y * 1.5) = 1.2 + -1y
(-12 + 1.5y) = 1.2 + -1y

Solving
-12 + 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.
-12 + 1.5y + y = 1.2 + -1y + y

Combine like terms: 1.5y + y = 2.5y
-12 + 2.5y = 1.2 + -1y + y

Combine like terms: -1y + y = 0
-12 + 2.5y = 1.2 + 0
-12 + 2.5y = 1.2

Add '12' to each side of the equation.
-12 + 12 + 2.5y = 1.2 + 12

Combine like terms: -12 + 12 = 0
0 + 2.5y = 1.2 + 12
2.5y = 1.2 + 12

Combine like terms: 1.2 + 12 = 13.2
2.5y = 13.2

Divide each side by '2.5'.
y = 5.28

Simplifying
y = 5.28

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