-47+8y+3=3(4y-4)-8

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Solution for -47+8y+3=3(4y-4)-8 equation:


Simplifying
-47 + 8y + 3 = 3(4y + -4) + -8

Reorder the terms:
-47 + 3 + 8y = 3(4y + -4) + -8

Combine like terms: -47 + 3 = -44
-44 + 8y = 3(4y + -4) + -8

Reorder the terms:
-44 + 8y = 3(-4 + 4y) + -8
-44 + 8y = (-4 * 3 + 4y * 3) + -8
-44 + 8y = (-12 + 12y) + -8

Reorder the terms:
-44 + 8y = -12 + -8 + 12y

Combine like terms: -12 + -8 = -20
-44 + 8y = -20 + 12y

Solving
-44 + 8y = -20 + 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.
-44 + 8y + -12y = -20 + 12y + -12y

Combine like terms: 8y + -12y = -4y
-44 + -4y = -20 + 12y + -12y

Combine like terms: 12y + -12y = 0
-44 + -4y = -20 + 0
-44 + -4y = -20

Add '44' to each side of the equation.
-44 + 44 + -4y = -20 + 44

Combine like terms: -44 + 44 = 0
0 + -4y = -20 + 44
-4y = -20 + 44

Combine like terms: -20 + 44 = 24
-4y = 24

Divide each side by '-4'.
y = -6

Simplifying
y = -6

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