2(5-2y)=3(y+1)

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Solution for 2(5-2y)=3(y+1) equation: 


Simplifying
2(5 + -2y) = 3(y + 1)
(5 * 2 + -2y * 2) = 3(y + 1)
(10 + -4y) = 3(y + 1)

Reorder the terms:
10 + -4y = 3(1 + y)
10 + -4y = (1 * 3 + y * 3)
10 + -4y = (3 + 3y)

Solving
10 + -4y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
10 + -4y + -3y = 3 + 3y + -3y

Combine like terms: -4y + -3y = -7y
10 + -7y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + -7y = 3 + 0
10 + -7y = 3

Add '-10' to each side of the equation.
10 + -10 + -7y = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = 3 + -10
-7y = 3 + -10

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

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

Simplifying
y = 1

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