-75+5y+8=3(4y-4)-6

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Solution for -75+5y+8=3(4y-4)-6 equation:


Simplifying
-75 + 5y + 8 = 3(4y + -4) + -6

Reorder the terms:
-75 + 8 + 5y = 3(4y + -4) + -6

Combine like terms: -75 + 8 = -67
-67 + 5y = 3(4y + -4) + -6

Reorder the terms:
-67 + 5y = 3(-4 + 4y) + -6
-67 + 5y = (-4 * 3 + 4y * 3) + -6
-67 + 5y = (-12 + 12y) + -6

Reorder the terms:
-67 + 5y = -12 + -6 + 12y

Combine like terms: -12 + -6 = -18
-67 + 5y = -18 + 12y

Solving
-67 + 5y = -18 + 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.
-67 + 5y + -12y = -18 + 12y + -12y

Combine like terms: 5y + -12y = -7y
-67 + -7y = -18 + 12y + -12y

Combine like terms: 12y + -12y = 0
-67 + -7y = -18 + 0
-67 + -7y = -18

Add '67' to each side of the equation.
-67 + 67 + -7y = -18 + 67

Combine like terms: -67 + 67 = 0
0 + -7y = -18 + 67
-7y = -18 + 67

Combine like terms: -18 + 67 = 49
-7y = 49

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

Simplifying
y = -7

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