3+2(y-1)=4-2(y-3)

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Solution for 3+2(y-1)=4-2(y-3) equation: 


Simplifying
3 + 2(y + -1) = 4 + -2(y + -3)

Reorder the terms:
3 + 2(-1 + y) = 4 + -2(y + -3)
3 + (-1 * 2 + y * 2) = 4 + -2(y + -3)
3 + (-2 + 2y) = 4 + -2(y + -3)

Combine like terms: 3 + -2 = 1
1 + 2y = 4 + -2(y + -3)

Reorder the terms:
1 + 2y = 4 + -2(-3 + y)
1 + 2y = 4 + (-3 * -2 + y * -2)
1 + 2y = 4 + (6 + -2y)

Combine like terms: 4 + 6 = 10
1 + 2y = 10 + -2y

Solving
1 + 2y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
1 + 2y + 2y = 10 + -2y + 2y

Combine like terms: 2y + 2y = 4y
1 + 4y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
1 + 4y = 10 + 0
1 + 4y = 10

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

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

Combine like terms: 10 + -1 = 9
4y = 9

Divide each side by '4'.
y = 2.25

Simplifying
y = 2.25

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