7(8y+10)=5(10y+8)

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Solution for 7(8y+10)=5(10y+8) equation:


Simplifying
7(8y + 10) = 5(10y + 8)

Reorder the terms:
7(10 + 8y) = 5(10y + 8)
(10 * 7 + 8y * 7) = 5(10y + 8)
(70 + 56y) = 5(10y + 8)

Reorder the terms:
70 + 56y = 5(8 + 10y)
70 + 56y = (8 * 5 + 10y * 5)
70 + 56y = (40 + 50y)

Solving
70 + 56y = 40 + 50y

Solving for variable 'y'.

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

Add '-50y' to each side of the equation.
70 + 56y + -50y = 40 + 50y + -50y

Combine like terms: 56y + -50y = 6y
70 + 6y = 40 + 50y + -50y

Combine like terms: 50y + -50y = 0
70 + 6y = 40 + 0
70 + 6y = 40

Add '-70' to each side of the equation.
70 + -70 + 6y = 40 + -70

Combine like terms: 70 + -70 = 0
0 + 6y = 40 + -70
6y = 40 + -70

Combine like terms: 40 + -70 = -30
6y = -30

Divide each side by '6'.
y = -5

Simplifying
y = -5

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