3y+5=4y-7

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Solution for 3y+5=4y-7 equation:


Simplifying
3y + 5 = 4y + -7

Reorder the terms:
5 + 3y = 4y + -7

Reorder the terms:
5 + 3y = -7 + 4y

Solving
5 + 3y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
5 + 3y + -4y = -7 + 4y + -4y

Combine like terms: 3y + -4y = -1y
5 + -1y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
5 + -1y = -7 + 0
5 + -1y = -7

Add '-5' to each side of the equation.
5 + -5 + -1y = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = -7 + -5
-1y = -7 + -5

Combine like terms: -7 + -5 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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