-78+19y+8=5(5y-5)-9

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Solution for -78+19y+8=5(5y-5)-9 equation:


Simplifying
-78 + 19y + 8 = 5(5y + -5) + -9

Reorder the terms:
-78 + 8 + 19y = 5(5y + -5) + -9

Combine like terms: -78 + 8 = -70
-70 + 19y = 5(5y + -5) + -9

Reorder the terms:
-70 + 19y = 5(-5 + 5y) + -9
-70 + 19y = (-5 * 5 + 5y * 5) + -9
-70 + 19y = (-25 + 25y) + -9

Reorder the terms:
-70 + 19y = -25 + -9 + 25y

Combine like terms: -25 + -9 = -34
-70 + 19y = -34 + 25y

Solving
-70 + 19y = -34 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
-70 + 19y + -25y = -34 + 25y + -25y

Combine like terms: 19y + -25y = -6y
-70 + -6y = -34 + 25y + -25y

Combine like terms: 25y + -25y = 0
-70 + -6y = -34 + 0
-70 + -6y = -34

Add '70' to each side of the equation.
-70 + 70 + -6y = -34 + 70

Combine like terms: -70 + 70 = 0
0 + -6y = -34 + 70
-6y = -34 + 70

Combine like terms: -34 + 70 = 36
-6y = 36

Divide each side by '-6'.
y = -6

Simplifying
y = -6

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