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

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


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

Reorder the terms:
3 + -4(7 + -2y) = (4y + -7) + 7
3 + (7 * -4 + -2y * -4) = (4y + -7) + 7
3 + (-28 + 8y) = (4y + -7) + 7

Combine like terms: 3 + -28 = -25
-25 + 8y = (4y + -7) + 7

Reorder the terms:
-25 + 8y = (-7 + 4y) + 7

Remove parenthesis around (-7 + 4y)
-25 + 8y = -7 + 4y + 7

Reorder the terms:
-25 + 8y = -7 + 7 + 4y

Combine like terms: -7 + 7 = 0
-25 + 8y = 0 + 4y
-25 + 8y = 4y

Solving
-25 + 8y = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-25 + 8y + -4y = 4y + -4y

Combine like terms: 8y + -4y = 4y
-25 + 4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-25 + 4y = 0

Add '25' to each side of the equation.
-25 + 25 + 4y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4y = 0 + 25
4y = 0 + 25

Combine like terms: 0 + 25 = 25
4y = 25

Divide each side by '4'.
y = 6.25

Simplifying
y = 6.25

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