2y+4(y-3)=5(y+3)

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Solution for 2y+4(y-3)=5(y+3) equation:


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

Reorder the terms:
2y + 4(-3 + y) = 5(y + 3)
2y + (-3 * 4 + y * 4) = 5(y + 3)
2y + (-12 + 4y) = 5(y + 3)

Reorder the terms:
-12 + 2y + 4y = 5(y + 3)

Combine like terms: 2y + 4y = 6y
-12 + 6y = 5(y + 3)

Reorder the terms:
-12 + 6y = 5(3 + y)
-12 + 6y = (3 * 5 + y * 5)
-12 + 6y = (15 + 5y)

Solving
-12 + 6y = 15 + 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.
-12 + 6y + -5y = 15 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-12 + 1y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 1y = 15 + 0
-12 + 1y = 15

Add '12' to each side of the equation.
-12 + 12 + 1y = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = 15 + 12
1y = 15 + 12

Combine like terms: 15 + 12 = 27
1y = 27

Divide each side by '1'.
y = 27

Simplifying
y = 27

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