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

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


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

Reorder the terms:
3y + 2(-5 + y) = 7 + -1(y + 3)
3y + (-5 * 2 + y * 2) = 7 + -1(y + 3)
3y + (-10 + 2y) = 7 + -1(y + 3)

Reorder the terms:
-10 + 3y + 2y = 7 + -1(y + 3)

Combine like terms: 3y + 2y = 5y
-10 + 5y = 7 + -1(y + 3)

Reorder the terms:
-10 + 5y = 7 + -1(3 + y)
-10 + 5y = 7 + (3 * -1 + y * -1)
-10 + 5y = 7 + (-3 + -1y)

Combine like terms: 7 + -3 = 4
-10 + 5y = 4 + -1y

Solving
-10 + 5y = 4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-10 + 5y + y = 4 + -1y + y

Combine like terms: 5y + y = 6y
-10 + 6y = 4 + -1y + y

Combine like terms: -1y + y = 0
-10 + 6y = 4 + 0
-10 + 6y = 4

Add '10' to each side of the equation.
-10 + 10 + 6y = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 6y = 4 + 10
6y = 4 + 10

Combine like terms: 4 + 10 = 14
6y = 14

Divide each side by '6'.
y = 2.333333333

Simplifying
y = 2.333333333

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