3y-5=7y-13

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Solution for 3y-5=7y-13 equation:


Simplifying
3y + -5 = 7y + -13

Reorder the terms:
-5 + 3y = 7y + -13

Reorder the terms:
-5 + 3y = -13 + 7y

Solving
-5 + 3y = -13 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-5 + 3y + -7y = -13 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-5 + -4y = -13 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + -4y = -13 + 0
-5 + -4y = -13

Add '5' to each side of the equation.
-5 + 5 + -4y = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = -13 + 5
-4y = -13 + 5

Combine like terms: -13 + 5 = -8
-4y = -8

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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