8-2(2y-3)=5-(y+3)

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Solution for 8-2(2y-3)=5-(y+3) equation:


Simplifying
8 + -2(2y + -3) = 5 + -1(y + 3)

Reorder the terms:
8 + -2(-3 + 2y) = 5 + -1(y + 3)
8 + (-3 * -2 + 2y * -2) = 5 + -1(y + 3)
8 + (6 + -4y) = 5 + -1(y + 3)

Combine like terms: 8 + 6 = 14
14 + -4y = 5 + -1(y + 3)

Reorder the terms:
14 + -4y = 5 + -1(3 + y)
14 + -4y = 5 + (3 * -1 + y * -1)
14 + -4y = 5 + (-3 + -1y)

Combine like terms: 5 + -3 = 2
14 + -4y = 2 + -1y

Solving
14 + -4y = 2 + -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.
14 + -4y + y = 2 + -1y + y

Combine like terms: -4y + y = -3y
14 + -3y = 2 + -1y + y

Combine like terms: -1y + y = 0
14 + -3y = 2 + 0
14 + -3y = 2

Add '-14' to each side of the equation.
14 + -14 + -3y = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -3y = 2 + -14
-3y = 2 + -14

Combine like terms: 2 + -14 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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