6(3+5y)+5(y-8)=13

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Solution for 6(3+5y)+5(y-8)=13 equation:


Simplifying
6(3 + 5y) + 5(y + -8) = 13
(3 * 6 + 5y * 6) + 5(y + -8) = 13
(18 + 30y) + 5(y + -8) = 13

Reorder the terms:
18 + 30y + 5(-8 + y) = 13
18 + 30y + (-8 * 5 + y * 5) = 13
18 + 30y + (-40 + 5y) = 13

Reorder the terms:
18 + -40 + 30y + 5y = 13

Combine like terms: 18 + -40 = -22
-22 + 30y + 5y = 13

Combine like terms: 30y + 5y = 35y
-22 + 35y = 13

Solving
-22 + 35y = 13

Solving for variable 'y'.

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

Add '22' to each side of the equation.
-22 + 22 + 35y = 13 + 22

Combine like terms: -22 + 22 = 0
0 + 35y = 13 + 22
35y = 13 + 22

Combine like terms: 13 + 22 = 35
35y = 35

Divide each side by '35'.
y = 1

Simplifying
y = 1

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