7y-15=2(y+3)+4

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Solution for 7y-15=2(y+3)+4 equation:


Simplifying
7y + -15 = 2(y + 3) + 4

Reorder the terms:
-15 + 7y = 2(y + 3) + 4

Reorder the terms:
-15 + 7y = 2(3 + y) + 4
-15 + 7y = (3 * 2 + y * 2) + 4
-15 + 7y = (6 + 2y) + 4

Reorder the terms:
-15 + 7y = 6 + 4 + 2y

Combine like terms: 6 + 4 = 10
-15 + 7y = 10 + 2y

Solving
-15 + 7y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-15 + 7y + -2y = 10 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-15 + 5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 5y = 10 + 0
-15 + 5y = 10

Add '15' to each side of the equation.
-15 + 15 + 5y = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 10 + 15
5y = 10 + 15

Combine like terms: 10 + 15 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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