-62+12y+7=5(3y-5)-3

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Solution for -62+12y+7=5(3y-5)-3 equation:


Simplifying
-62 + 12y + 7 = 5(3y + -5) + -3

Reorder the terms:
-62 + 7 + 12y = 5(3y + -5) + -3

Combine like terms: -62 + 7 = -55
-55 + 12y = 5(3y + -5) + -3

Reorder the terms:
-55 + 12y = 5(-5 + 3y) + -3
-55 + 12y = (-5 * 5 + 3y * 5) + -3
-55 + 12y = (-25 + 15y) + -3

Reorder the terms:
-55 + 12y = -25 + -3 + 15y

Combine like terms: -25 + -3 = -28
-55 + 12y = -28 + 15y

Solving
-55 + 12y = -28 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-55 + 12y + -15y = -28 + 15y + -15y

Combine like terms: 12y + -15y = -3y
-55 + -3y = -28 + 15y + -15y

Combine like terms: 15y + -15y = 0
-55 + -3y = -28 + 0
-55 + -3y = -28

Add '55' to each side of the equation.
-55 + 55 + -3y = -28 + 55

Combine like terms: -55 + 55 = 0
0 + -3y = -28 + 55
-3y = -28 + 55

Combine like terms: -28 + 55 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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