-59+8y+5=3(4y-5)-7

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Solution for -59+8y+5=3(4y-5)-7 equation:


Simplifying
-59 + 8y + 5 = 3(4y + -5) + -7

Reorder the terms:
-59 + 5 + 8y = 3(4y + -5) + -7

Combine like terms: -59 + 5 = -54
-54 + 8y = 3(4y + -5) + -7

Reorder the terms:
-54 + 8y = 3(-5 + 4y) + -7
-54 + 8y = (-5 * 3 + 4y * 3) + -7
-54 + 8y = (-15 + 12y) + -7

Reorder the terms:
-54 + 8y = -15 + -7 + 12y

Combine like terms: -15 + -7 = -22
-54 + 8y = -22 + 12y

Solving
-54 + 8y = -22 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-54 + 8y + -12y = -22 + 12y + -12y

Combine like terms: 8y + -12y = -4y
-54 + -4y = -22 + 12y + -12y

Combine like terms: 12y + -12y = 0
-54 + -4y = -22 + 0
-54 + -4y = -22

Add '54' to each side of the equation.
-54 + 54 + -4y = -22 + 54

Combine like terms: -54 + 54 = 0
0 + -4y = -22 + 54
-4y = -22 + 54

Combine like terms: -22 + 54 = 32
-4y = 32

Divide each side by '-4'.
y = -8

Simplifying
y = -8

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