.75(2y-6)=y-7

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Solution for .75(2y-6)=y-7 equation: 


Simplifying
0.75(2y + -6) = y + -7

Reorder the terms:
0.75(-6 + 2y) = y + -7
(-6 * 0.75 + 2y * 0.75) = y + -7
(-4.5 + 1.5y) = y + -7

Reorder the terms:
-4.5 + 1.5y = -7 + y

Solving
-4.5 + 1.5y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-4.5 + 1.5y + -1y = -7 + y + -1y

Combine like terms: 1.5y + -1y = 0.5y
-4.5 + 0.5y = -7 + y + -1y

Combine like terms: y + -1y = 0
-4.5 + 0.5y = -7 + 0
-4.5 + 0.5y = -7

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.5y = -7 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.5y = -7 + 4.5
0.5y = -7 + 4.5

Combine like terms: -7 + 4.5 = -2.5
0.5y = -2.5

Divide each side by '0.5'.
y = -5

Simplifying
y = -5

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