2(y+7)=3(5-y)

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Solution for 2(y+7)=3(5-y) equation: 


Simplifying
2(y + 7) = 3(5 + -1y)

Reorder the terms:
2(7 + y) = 3(5 + -1y)
(7 * 2 + y * 2) = 3(5 + -1y)
(14 + 2y) = 3(5 + -1y)
14 + 2y = (5 * 3 + -1y * 3)
14 + 2y = (15 + -3y)

Solving
14 + 2y = 15 + -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.
14 + 2y + 3y = 15 + -3y + 3y

Combine like terms: 2y + 3y = 5y
14 + 5y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
14 + 5y = 15 + 0
14 + 5y = 15

Add '-14' to each side of the equation.
14 + -14 + 5y = 15 + -14

Combine like terms: 14 + -14 = 0
0 + 5y = 15 + -14
5y = 15 + -14

Combine like terms: 15 + -14 = 1
5y = 1

Divide each side by '5'.
y = 0.2

Simplifying
y = 0.2

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