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

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


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

Reorder the terms:
2(5 + 2y) = 5y + 3
(5 * 2 + 2y * 2) = 5y + 3
(10 + 4y) = 5y + 3

Reorder the terms:
10 + 4y = 3 + 5y

Solving
10 + 4y = 3 + 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.
10 + 4y + -5y = 3 + 5y + -5y

Combine like terms: 4y + -5y = -1y
10 + -1y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -1y = 3 + 0
10 + -1y = 3

Add '-10' to each side of the equation.
10 + -10 + -1y = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 3 + -10
-1y = 3 + -10

Combine like terms: 3 + -10 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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