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

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


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

Reorder the terms:
2 + -3(2 + y) = 7 + -1(y + -2)
2 + (2 * -3 + y * -3) = 7 + -1(y + -2)
2 + (-6 + -3y) = 7 + -1(y + -2)

Combine like terms: 2 + -6 = -4
-4 + -3y = 7 + -1(y + -2)

Reorder the terms:
-4 + -3y = 7 + -1(-2 + y)
-4 + -3y = 7 + (-2 * -1 + y * -1)
-4 + -3y = 7 + (2 + -1y)

Combine like terms: 7 + 2 = 9
-4 + -3y = 9 + -1y

Solving
-4 + -3y = 9 + -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.
-4 + -3y + y = 9 + -1y + y

Combine like terms: -3y + y = -2y
-4 + -2y = 9 + -1y + y

Combine like terms: -1y + y = 0
-4 + -2y = 9 + 0
-4 + -2y = 9

Add '4' to each side of the equation.
-4 + 4 + -2y = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = 9 + 4
-2y = 9 + 4

Combine like terms: 9 + 4 = 13
-2y = 13

Divide each side by '-2'.
y = -6.5

Simplifying
y = -6.5

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