3y-5=4y-2

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Solution for 3y-5=4y-2 equation:


Simplifying
3y + -5 = 4y + -2

Reorder the terms:
-5 + 3y = 4y + -2

Reorder the terms:
-5 + 3y = -2 + 4y

Solving
-5 + 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.
-5 + 3y + -4y = -2 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-5 + -1y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + -1y = -2 + 0
-5 + -1y = -2

Add '5' to each side of the equation.
-5 + 5 + -1y = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = -2 + 5
-1y = -2 + 5

Combine like terms: -2 + 5 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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