7(7-y)=8y-4

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Solution for 7(7-y)=8y-4 equation:


Simplifying
7(7 + -1y) = 8y + -4
(7 * 7 + -1y * 7) = 8y + -4
(49 + -7y) = 8y + -4

Reorder the terms:
49 + -7y = -4 + 8y

Solving
49 + -7y = -4 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
49 + -7y + -8y = -4 + 8y + -8y

Combine like terms: -7y + -8y = -15y
49 + -15y = -4 + 8y + -8y

Combine like terms: 8y + -8y = 0
49 + -15y = -4 + 0
49 + -15y = -4

Add '-49' to each side of the equation.
49 + -49 + -15y = -4 + -49

Combine like terms: 49 + -49 = 0
0 + -15y = -4 + -49
-15y = -4 + -49

Combine like terms: -4 + -49 = -53
-15y = -53

Divide each side by '-15'.
y = 3.533333333

Simplifying
y = 3.533333333

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