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

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


Simplifying
-4(2 + -1y) + 3 = 7(y + -4)
(2 * -4 + -1y * -4) + 3 = 7(y + -4)
(-8 + 4y) + 3 = 7(y + -4)

Reorder the terms:
-8 + 3 + 4y = 7(y + -4)

Combine like terms: -8 + 3 = -5
-5 + 4y = 7(y + -4)

Reorder the terms:
-5 + 4y = 7(-4 + y)
-5 + 4y = (-4 * 7 + y * 7)
-5 + 4y = (-28 + 7y)

Solving
-5 + 4y = -28 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-5 + 4y + -7y = -28 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-5 + -3y = -28 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + -3y = -28 + 0
-5 + -3y = -28

Add '5' to each side of the equation.
-5 + 5 + -3y = -28 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = -28 + 5
-3y = -28 + 5

Combine like terms: -28 + 5 = -23
-3y = -23

Divide each side by '-3'.
y = 7.666666667

Simplifying
y = 7.666666667

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