(7y-7)-8=(27y-27)-4y

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Solution for (7y-7)-8=(27y-27)-4y equation:


Simplifying
(7y + -7) + -8 = (27y + -27) + -4y

Reorder the terms:
(-7 + 7y) + -8 = (27y + -27) + -4y

Remove parenthesis around (-7 + 7y)
-7 + 7y + -8 = (27y + -27) + -4y

Reorder the terms:
-7 + -8 + 7y = (27y + -27) + -4y

Combine like terms: -7 + -8 = -15
-15 + 7y = (27y + -27) + -4y

Reorder the terms:
-15 + 7y = (-27 + 27y) + -4y

Remove parenthesis around (-27 + 27y)
-15 + 7y = -27 + 27y + -4y

Combine like terms: 27y + -4y = 23y
-15 + 7y = -27 + 23y

Solving
-15 + 7y = -27 + 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
-15 + 7y + -23y = -27 + 23y + -23y

Combine like terms: 7y + -23y = -16y
-15 + -16y = -27 + 23y + -23y

Combine like terms: 23y + -23y = 0
-15 + -16y = -27 + 0
-15 + -16y = -27

Add '15' to each side of the equation.
-15 + 15 + -16y = -27 + 15

Combine like terms: -15 + 15 = 0
0 + -16y = -27 + 15
-16y = -27 + 15

Combine like terms: -27 + 15 = -12
-16y = -12

Divide each side by '-16'.
y = 0.75

Simplifying
y = 0.75

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