-81+8y+6=6(3y-5)-5

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Solution for -81+8y+6=6(3y-5)-5 equation:


Simplifying
-81 + 8y + 6 = 6(3y + -5) + -5

Reorder the terms:
-81 + 6 + 8y = 6(3y + -5) + -5

Combine like terms: -81 + 6 = -75
-75 + 8y = 6(3y + -5) + -5

Reorder the terms:
-75 + 8y = 6(-5 + 3y) + -5
-75 + 8y = (-5 * 6 + 3y * 6) + -5
-75 + 8y = (-30 + 18y) + -5

Reorder the terms:
-75 + 8y = -30 + -5 + 18y

Combine like terms: -30 + -5 = -35
-75 + 8y = -35 + 18y

Solving
-75 + 8y = -35 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-75 + 8y + -18y = -35 + 18y + -18y

Combine like terms: 8y + -18y = -10y
-75 + -10y = -35 + 18y + -18y

Combine like terms: 18y + -18y = 0
-75 + -10y = -35 + 0
-75 + -10y = -35

Add '75' to each side of the equation.
-75 + 75 + -10y = -35 + 75

Combine like terms: -75 + 75 = 0
0 + -10y = -35 + 75
-10y = -35 + 75

Combine like terms: -35 + 75 = 40
-10y = 40

Divide each side by '-10'.
y = -4

Simplifying
y = -4

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