20+.75(12-y)=1.5y-10

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Solution for 20+.75(12-y)=1.5y-10 equation:


Simplifying
20 + 0.75(12 + -1y) = 1.5y + -10
20 + (12 * 0.75 + -1y * 0.75) = 1.5y + -10
20 + (9 + -0.75y) = 1.5y + -10

Combine like terms: 20 + 9 = 29
29 + -0.75y = 1.5y + -10

Reorder the terms:
29 + -0.75y = -10 + 1.5y

Solving
29 + -0.75y = -10 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
29 + -0.75y + -1.5y = -10 + 1.5y + -1.5y

Combine like terms: -0.75y + -1.5y = -2.25y
29 + -2.25y = -10 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
29 + -2.25y = -10 + 0.0
29 + -2.25y = -10

Add '-29' to each side of the equation.
29 + -29 + -2.25y = -10 + -29

Combine like terms: 29 + -29 = 0
0 + -2.25y = -10 + -29
-2.25y = -10 + -29

Combine like terms: -10 + -29 = -39
-2.25y = -39

Divide each side by '-2.25'.
y = 17.33333333

Simplifying
y = 17.33333333

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