7y-5=4y+13

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Solution for 7y-5=4y+13 equation:


Simplifying
7y + -5 = 4y + 13

Reorder the terms:
-5 + 7y = 4y + 13

Reorder the terms:
-5 + 7y = 13 + 4y

Solving
-5 + 7y = 13 + 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 + 7y + -4y = 13 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-5 + 3y = 13 + 0
-5 + 3y = 13

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

Combine like terms: -5 + 5 = 0
0 + 3y = 13 + 5
3y = 13 + 5

Combine like terms: 13 + 5 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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