-38+28y+2=6(5y-2)-8

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Solution for -38+28y+2=6(5y-2)-8 equation: 


Simplifying
-38 + 28y + 2 = 6(5y + -2) + -8

Reorder the terms:
-38 + 2 + 28y = 6(5y + -2) + -8

Combine like terms: -38 + 2 = -36
-36 + 28y = 6(5y + -2) + -8

Reorder the terms:
-36 + 28y = 6(-2 + 5y) + -8
-36 + 28y = (-2 * 6 + 5y * 6) + -8
-36 + 28y = (-12 + 30y) + -8

Reorder the terms:
-36 + 28y = -12 + -8 + 30y

Combine like terms: -12 + -8 = -20
-36 + 28y = -20 + 30y

Solving
-36 + 28y = -20 + 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.
-36 + 28y + -30y = -20 + 30y + -30y

Combine like terms: 28y + -30y = -2y
-36 + -2y = -20 + 30y + -30y

Combine like terms: 30y + -30y = 0
-36 + -2y = -20 + 0
-36 + -2y = -20

Add '36' to each side of the equation.
-36 + 36 + -2y = -20 + 36

Combine like terms: -36 + 36 = 0
0 + -2y = -20 + 36
-2y = -20 + 36

Combine like terms: -20 + 36 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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