8-8(-5y+7)=-5(-6y+4)-4

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Solution for 8-8(-5y+7)=-5(-6y+4)-4 equation:


Simplifying
8 + -8(-5y + 7) = -5(-6y + 4) + -4

Reorder the terms:
8 + -8(7 + -5y) = -5(-6y + 4) + -4
8 + (7 * -8 + -5y * -8) = -5(-6y + 4) + -4
8 + (-56 + 40y) = -5(-6y + 4) + -4

Combine like terms: 8 + -56 = -48
-48 + 40y = -5(-6y + 4) + -4

Reorder the terms:
-48 + 40y = -5(4 + -6y) + -4
-48 + 40y = (4 * -5 + -6y * -5) + -4
-48 + 40y = (-20 + 30y) + -4

Reorder the terms:
-48 + 40y = -20 + -4 + 30y

Combine like terms: -20 + -4 = -24
-48 + 40y = -24 + 30y

Solving
-48 + 40y = -24 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
-48 + 40y + -30y = -24 + 30y + -30y

Combine like terms: 40y + -30y = 10y
-48 + 10y = -24 + 30y + -30y

Combine like terms: 30y + -30y = 0
-48 + 10y = -24 + 0
-48 + 10y = -24

Add '48' to each side of the equation.
-48 + 48 + 10y = -24 + 48

Combine like terms: -48 + 48 = 0
0 + 10y = -24 + 48
10y = -24 + 48

Combine like terms: -24 + 48 = 24
10y = 24

Divide each side by '10'.
y = 2.4

Simplifying
y = 2.4

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