1(3-6y)+5(13y+1)=9

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Solution for 1(3-6y)+5(13y+1)=9 equation:


Simplifying
1(3 + -6y) + 5(13y + 1) = 9
(3 * 1 + -6y * 1) + 5(13y + 1) = 9
(3 + -6y) + 5(13y + 1) = 9

Reorder the terms:
3 + -6y + 5(1 + 13y) = 9
3 + -6y + (1 * 5 + 13y * 5) = 9
3 + -6y + (5 + 65y) = 9

Reorder the terms:
3 + 5 + -6y + 65y = 9

Combine like terms: 3 + 5 = 8
8 + -6y + 65y = 9

Combine like terms: -6y + 65y = 59y
8 + 59y = 9

Solving
8 + 59y = 9

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 59y = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 59y = 9 + -8
59y = 9 + -8

Combine like terms: 9 + -8 = 1
59y = 1

Divide each side by '59'.
y = 0.01694915254

Simplifying
y = 0.01694915254

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