4y-7=12y+33

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Solution for 4y-7=12y+33 equation:


Simplifying
4y + -7 = 12y + 33

Reorder the terms:
-7 + 4y = 12y + 33

Reorder the terms:
-7 + 4y = 33 + 12y

Solving
-7 + 4y = 33 + 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.
-7 + 4y + -12y = 33 + 12y + -12y

Combine like terms: 4y + -12y = -8y
-7 + -8y = 33 + 12y + -12y

Combine like terms: 12y + -12y = 0
-7 + -8y = 33 + 0
-7 + -8y = 33

Add '7' to each side of the equation.
-7 + 7 + -8y = 33 + 7

Combine like terms: -7 + 7 = 0
0 + -8y = 33 + 7
-8y = 33 + 7

Combine like terms: 33 + 7 = 40
-8y = 40

Divide each side by '-8'.
y = -5

Simplifying
y = -5

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