-48+28y+4=6(5y-4)-6

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Solution for -48+28y+4=6(5y-4)-6 equation:


Simplifying
-48 + 28y + 4 = 6(5y + -4) + -6

Reorder the terms:
-48 + 4 + 28y = 6(5y + -4) + -6

Combine like terms: -48 + 4 = -44
-44 + 28y = 6(5y + -4) + -6

Reorder the terms:
-44 + 28y = 6(-4 + 5y) + -6
-44 + 28y = (-4 * 6 + 5y * 6) + -6
-44 + 28y = (-24 + 30y) + -6

Reorder the terms:
-44 + 28y = -24 + -6 + 30y

Combine like terms: -24 + -6 = -30
-44 + 28y = -30 + 30y

Solving
-44 + 28y = -30 + 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.
-44 + 28y + -30y = -30 + 30y + -30y

Combine like terms: 28y + -30y = -2y
-44 + -2y = -30 + 30y + -30y

Combine like terms: 30y + -30y = 0
-44 + -2y = -30 + 0
-44 + -2y = -30

Add '44' to each side of the equation.
-44 + 44 + -2y = -30 + 44

Combine like terms: -44 + 44 = 0
0 + -2y = -30 + 44
-2y = -30 + 44

Combine like terms: -30 + 44 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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