7(4-y)+2=-2(y-2)-3

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Solution for 7(4-y)+2=-2(y-2)-3 equation:


Simplifying
7(4 + -1y) + 2 = -2(y + -2) + -3
(4 * 7 + -1y * 7) + 2 = -2(y + -2) + -3
(28 + -7y) + 2 = -2(y + -2) + -3

Reorder the terms:
28 + 2 + -7y = -2(y + -2) + -3

Combine like terms: 28 + 2 = 30
30 + -7y = -2(y + -2) + -3

Reorder the terms:
30 + -7y = -2(-2 + y) + -3
30 + -7y = (-2 * -2 + y * -2) + -3
30 + -7y = (4 + -2y) + -3

Reorder the terms:
30 + -7y = 4 + -3 + -2y

Combine like terms: 4 + -3 = 1
30 + -7y = 1 + -2y

Solving
30 + -7y = 1 + -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.
30 + -7y + 2y = 1 + -2y + 2y

Combine like terms: -7y + 2y = -5y
30 + -5y = 1 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + -5y = 1 + 0
30 + -5y = 1

Add '-30' to each side of the equation.
30 + -30 + -5y = 1 + -30

Combine like terms: 30 + -30 = 0
0 + -5y = 1 + -30
-5y = 1 + -30

Combine like terms: 1 + -30 = -29
-5y = -29

Divide each side by '-5'.
y = 5.8

Simplifying
y = 5.8

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