2(y-6)-4=-4(-5y+7)-3y

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Solution for 2(y-6)-4=-4(-5y+7)-3y equation:


Simplifying
2(y + -6) + -4 = -4(-5y + 7) + -3y

Reorder the terms:
2(-6 + y) + -4 = -4(-5y + 7) + -3y
(-6 * 2 + y * 2) + -4 = -4(-5y + 7) + -3y
(-12 + 2y) + -4 = -4(-5y + 7) + -3y

Reorder the terms:
-12 + -4 + 2y = -4(-5y + 7) + -3y

Combine like terms: -12 + -4 = -16
-16 + 2y = -4(-5y + 7) + -3y

Reorder the terms:
-16 + 2y = -4(7 + -5y) + -3y
-16 + 2y = (7 * -4 + -5y * -4) + -3y
-16 + 2y = (-28 + 20y) + -3y

Combine like terms: 20y + -3y = 17y
-16 + 2y = -28 + 17y

Solving
-16 + 2y = -28 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-16 + 2y + -17y = -28 + 17y + -17y

Combine like terms: 2y + -17y = -15y
-16 + -15y = -28 + 17y + -17y

Combine like terms: 17y + -17y = 0
-16 + -15y = -28 + 0
-16 + -15y = -28

Add '16' to each side of the equation.
-16 + 16 + -15y = -28 + 16

Combine like terms: -16 + 16 = 0
0 + -15y = -28 + 16
-15y = -28 + 16

Combine like terms: -28 + 16 = -12
-15y = -12

Divide each side by '-15'.
y = 0.8

Simplifying
y = 0.8

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