-74+20y+8=5(5y-5)-6

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Solution for -74+20y+8=5(5y-5)-6 equation:


Simplifying
-74 + 20y + 8 = 5(5y + -5) + -6

Reorder the terms:
-74 + 8 + 20y = 5(5y + -5) + -6

Combine like terms: -74 + 8 = -66
-66 + 20y = 5(5y + -5) + -6

Reorder the terms:
-66 + 20y = 5(-5 + 5y) + -6
-66 + 20y = (-5 * 5 + 5y * 5) + -6
-66 + 20y = (-25 + 25y) + -6

Reorder the terms:
-66 + 20y = -25 + -6 + 25y

Combine like terms: -25 + -6 = -31
-66 + 20y = -31 + 25y

Solving
-66 + 20y = -31 + 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.
-66 + 20y + -25y = -31 + 25y + -25y

Combine like terms: 20y + -25y = -5y
-66 + -5y = -31 + 25y + -25y

Combine like terms: 25y + -25y = 0
-66 + -5y = -31 + 0
-66 + -5y = -31

Add '66' to each side of the equation.
-66 + 66 + -5y = -31 + 66

Combine like terms: -66 + 66 = 0
0 + -5y = -31 + 66
-5y = -31 + 66

Combine like terms: -31 + 66 = 35
-5y = 35

Divide each side by '-5'.
y = -7

Simplifying
y = -7

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