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

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


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

Reorder the terms:
3 + -7(7 + -2y) = (4y + -7) + 7
3 + (7 * -7 + -2y * -7) = (4y + -7) + 7
3 + (-49 + 14y) = (4y + -7) + 7

Combine like terms: 3 + -49 = -46
-46 + 14y = (4y + -7) + 7

Reorder the terms:
-46 + 14y = (-7 + 4y) + 7

Remove parenthesis around (-7 + 4y)
-46 + 14y = -7 + 4y + 7

Reorder the terms:
-46 + 14y = -7 + 7 + 4y

Combine like terms: -7 + 7 = 0
-46 + 14y = 0 + 4y
-46 + 14y = 4y

Solving
-46 + 14y = 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.
-46 + 14y + -4y = 4y + -4y

Combine like terms: 14y + -4y = 10y
-46 + 10y = 4y + -4y

Combine like terms: 4y + -4y = 0
-46 + 10y = 0

Add '46' to each side of the equation.
-46 + 46 + 10y = 0 + 46

Combine like terms: -46 + 46 = 0
0 + 10y = 0 + 46
10y = 0 + 46

Combine like terms: 0 + 46 = 46
10y = 46

Divide each side by '10'.
y = 4.6

Simplifying
y = 4.6

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