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

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


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

Reorder the terms:
3 + 2(-5 + y) = 7(3 + y)
3 + (-5 * 2 + y * 2) = 7(3 + y)
3 + (-10 + 2y) = 7(3 + y)

Combine like terms: 3 + -10 = -7
-7 + 2y = 7(3 + y)
-7 + 2y = (3 * 7 + y * 7)
-7 + 2y = (21 + 7y)

Solving
-7 + 2y = 21 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-7 + 2y + -7y = 21 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-7 + -5y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-7 + -5y = 21 + 0
-7 + -5y = 21

Add '7' to each side of the equation.
-7 + 7 + -5y = 21 + 7

Combine like terms: -7 + 7 = 0
0 + -5y = 21 + 7
-5y = 21 + 7

Combine like terms: 21 + 7 = 28
-5y = 28

Divide each side by '-5'.
y = -5.6

Simplifying
y = -5.6

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