7(7y+4)=5y

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Solution for 7(7y+4)=5y equation:


Simplifying
7(7y + 4) = 5y

Reorder the terms:
7(4 + 7y) = 5y
(4 * 7 + 7y * 7) = 5y
(28 + 49y) = 5y

Solving
28 + 49y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
28 + 49y + -5y = 5y + -5y

Combine like terms: 49y + -5y = 44y
28 + 44y = 5y + -5y

Combine like terms: 5y + -5y = 0
28 + 44y = 0

Add '-28' to each side of the equation.
28 + -28 + 44y = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 44y = 0 + -28
44y = 0 + -28

Combine like terms: 0 + -28 = -28
44y = -28

Divide each side by '44'.
y = -0.6363636364

Simplifying
y = -0.6363636364

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