-65+27y+8=6(5y-4)-9

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Solution for -65+27y+8=6(5y-4)-9 equation:


Simplifying
-65 + 27y + 8 = 6(5y + -4) + -9

Reorder the terms:
-65 + 8 + 27y = 6(5y + -4) + -9

Combine like terms: -65 + 8 = -57
-57 + 27y = 6(5y + -4) + -9

Reorder the terms:
-57 + 27y = 6(-4 + 5y) + -9
-57 + 27y = (-4 * 6 + 5y * 6) + -9
-57 + 27y = (-24 + 30y) + -9

Reorder the terms:
-57 + 27y = -24 + -9 + 30y

Combine like terms: -24 + -9 = -33
-57 + 27y = -33 + 30y

Solving
-57 + 27y = -33 + 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.
-57 + 27y + -30y = -33 + 30y + -30y

Combine like terms: 27y + -30y = -3y
-57 + -3y = -33 + 30y + -30y

Combine like terms: 30y + -30y = 0
-57 + -3y = -33 + 0
-57 + -3y = -33

Add '57' to each side of the equation.
-57 + 57 + -3y = -33 + 57

Combine like terms: -57 + 57 = 0
0 + -3y = -33 + 57
-3y = -33 + 57

Combine like terms: -33 + 57 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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