-55+8y+4=4(3y-4)-7

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Solution for -55+8y+4=4(3y-4)-7 equation:


Simplifying
-55 + 8y + 4 = 4(3y + -4) + -7

Reorder the terms:
-55 + 4 + 8y = 4(3y + -4) + -7

Combine like terms: -55 + 4 = -51
-51 + 8y = 4(3y + -4) + -7

Reorder the terms:
-51 + 8y = 4(-4 + 3y) + -7
-51 + 8y = (-4 * 4 + 3y * 4) + -7
-51 + 8y = (-16 + 12y) + -7

Reorder the terms:
-51 + 8y = -16 + -7 + 12y

Combine like terms: -16 + -7 = -23
-51 + 8y = -23 + 12y

Solving
-51 + 8y = -23 + 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.
-51 + 8y + -12y = -23 + 12y + -12y

Combine like terms: 8y + -12y = -4y
-51 + -4y = -23 + 12y + -12y

Combine like terms: 12y + -12y = 0
-51 + -4y = -23 + 0
-51 + -4y = -23

Add '51' to each side of the equation.
-51 + 51 + -4y = -23 + 51

Combine like terms: -51 + 51 = 0
0 + -4y = -23 + 51
-4y = -23 + 51

Combine like terms: -23 + 51 = 28
-4y = 28

Divide each side by '-4'.
y = -7

Simplifying
y = -7

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