1.5(y-8)=-3.5y+8

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Solution for 1.5(y-8)=-3.5y+8 equation: 


Simplifying
1.5(y + -8) = -3.5y + 8

Reorder the terms:
1.5(-8 + y) = -3.5y + 8
(-8 * 1.5 + y * 1.5) = -3.5y + 8
(-12 + 1.5y) = -3.5y + 8

Reorder the terms:
-12 + 1.5y = 8 + -3.5y

Solving
-12 + 1.5y = 8 + -3.5y

Solving for variable 'y'.

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

Add '3.5y' to each side of the equation.
-12 + 1.5y + 3.5y = 8 + -3.5y + 3.5y

Combine like terms: 1.5y + 3.5y = 5y
-12 + 5y = 8 + -3.5y + 3.5y

Combine like terms: -3.5y + 3.5y = 0.0
-12 + 5y = 8 + 0.0
-12 + 5y = 8

Add '12' to each side of the equation.
-12 + 12 + 5y = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 8 + 12
5y = 8 + 12

Combine like terms: 8 + 12 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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