3y+7=4y-2

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Solution for 3y+7=4y-2 equation:


Simplifying
3y + 7 = 4y + -2

Reorder the terms:
7 + 3y = 4y + -2

Reorder the terms:
7 + 3y = -2 + 4y

Solving
7 + 3y = -2 + 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.
7 + 3y + -4y = -2 + 4y + -4y

Combine like terms: 3y + -4y = -1y
7 + -1y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + -1y = -2 + 0
7 + -1y = -2

Add '-7' to each side of the equation.
7 + -7 + -1y = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -2 + -7
-1y = -2 + -7

Combine like terms: -2 + -7 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9

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