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

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


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

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

Multiply 2 * 5
10 = 5(2y + -4)

Reorder the terms:
10 = 5(-4 + 2y)
10 = (-4 * 5 + 2y * 5)
10 = (-20 + 10y)

Solving
10 = -20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
10 + -10y = -20 + 10y + -10y

Combine like terms: 10y + -10y = 0
10 + -10y = -20 + 0
10 + -10y = -20

Add '-10' to each side of the equation.
10 + -10 + -10y = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -10y = -20 + -10
-10y = -20 + -10

Combine like terms: -20 + -10 = -30
-10y = -30

Divide each side by '-10'.
y = 3

Simplifying
y = 3

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