7(.5y-3)-8y=-12

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Solution for 7(.5y-3)-8y=-12 equation:


Simplifying
7(0.5y + -3) + -8y = -12

Reorder the terms:
7(-3 + 0.5y) + -8y = -12
(-3 * 7 + 0.5y * 7) + -8y = -12
(-21 + 3.5y) + -8y = -12

Combine like terms: 3.5y + -8y = -4.5y
-21 + -4.5y = -12

Solving
-21 + -4.5y = -12

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + -4.5y = -12 + 21

Combine like terms: -21 + 21 = 0
0 + -4.5y = -12 + 21
-4.5y = -12 + 21

Combine like terms: -12 + 21 = 9
-4.5y = 9

Divide each side by '-4.5'.
y = -2

Simplifying
y = -2

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