7y-3=5(y+2)

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Solution for 7y-3=5(y+2) equation:


Simplifying
7y + -3 = 5(y + 2)

Reorder the terms:
-3 + 7y = 5(y + 2)

Reorder the terms:
-3 + 7y = 5(2 + y)
-3 + 7y = (2 * 5 + y * 5)
-3 + 7y = (10 + 5y)

Solving
-3 + 7y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 7y + -5y = 10 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-3 + 2y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 2y = 10 + 0
-3 + 2y = 10

Add '3' to each side of the equation.
-3 + 3 + 2y = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 10 + 3
2y = 10 + 3

Combine like terms: 10 + 3 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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