-0.5(y+16)=0.7(y-20)

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Solution for -0.5(y+16)=0.7(y-20) equation: 


Simplifying
-0.5(y + 16) = 0.7(y + -20)

Reorder the terms:
-0.5(16 + y) = 0.7(y + -20)
(16 * -0.5 + y * -0.5) = 0.7(y + -20)
(-8 + -0.5y) = 0.7(y + -20)

Reorder the terms:
-8 + -0.5y = 0.7(-20 + y)
-8 + -0.5y = (-20 * 0.7 + y * 0.7)
-8 + -0.5y = (-14 + 0.7y)

Solving
-8 + -0.5y = -14 + 0.7y

Solving for variable 'y'.

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

Add '-0.7y' to each side of the equation.
-8 + -0.5y + -0.7y = -14 + 0.7y + -0.7y

Combine like terms: -0.5y + -0.7y = -1.2y
-8 + -1.2y = -14 + 0.7y + -0.7y

Combine like terms: 0.7y + -0.7y = 0.0
-8 + -1.2y = -14 + 0.0
-8 + -1.2y = -14

Add '8' to each side of the equation.
-8 + 8 + -1.2y = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -1.2y = -14 + 8
-1.2y = -14 + 8

Combine like terms: -14 + 8 = -6
-1.2y = -6

Divide each side by '-1.2'.
y = 5

Simplifying
y = 5

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