3y-2=4y-7

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


Simplifying
3y + -2 = 4y + -7

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

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

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

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

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

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

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

Combine like terms: -7 + 2 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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