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

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


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

Reorder the terms:
5(-3 + y) = 2(2y + 4)
(-3 * 5 + y * 5) = 2(2y + 4)
(-15 + 5y) = 2(2y + 4)

Reorder the terms:
-15 + 5y = 2(4 + 2y)
-15 + 5y = (4 * 2 + 2y * 2)
-15 + 5y = (8 + 4y)

Solving
-15 + 5y = 8 + 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.
-15 + 5y + -4y = 8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-15 + 1y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 1y = 8 + 0
-15 + 1y = 8

Add '15' to each side of the equation.
-15 + 15 + 1y = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = 8 + 15
1y = 8 + 15

Combine like terms: 8 + 15 = 23
1y = 23

Divide each side by '1'.
y = 23

Simplifying
y = 23

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