7(3+5y)=10(21-8y)

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Solution for 7(3+5y)=10(21-8y) equation: 


Simplifying
7(3 + 5y) = 10(21 + -8y)
(3 * 7 + 5y * 7) = 10(21 + -8y)
(21 + 35y) = 10(21 + -8y)
21 + 35y = (21 * 10 + -8y * 10)
21 + 35y = (210 + -80y)

Solving
21 + 35y = 210 + -80y

Solving for variable 'y'.

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

Add '80y' to each side of the equation.
21 + 35y + 80y = 210 + -80y + 80y

Combine like terms: 35y + 80y = 115y
21 + 115y = 210 + -80y + 80y

Combine like terms: -80y + 80y = 0
21 + 115y = 210 + 0
21 + 115y = 210

Add '-21' to each side of the equation.
21 + -21 + 115y = 210 + -21

Combine like terms: 21 + -21 = 0
0 + 115y = 210 + -21
115y = 210 + -21

Combine like terms: 210 + -21 = 189
115y = 189

Divide each side by '115'.
y = 1.643478261

Simplifying
y = 1.643478261

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