3(6+7y)+(1+5y)=42

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Solution for 3(6+7y)+(1+5y)=42 equation:


Simplifying
3(6 + 7y) + (1 + 5y) = 42
(6 * 3 + 7y * 3) + (1 + 5y) = 42
(18 + 21y) + (1 + 5y) = 42

Remove parenthesis around (1 + 5y)
18 + 21y + 1 + 5y = 42

Reorder the terms:
18 + 1 + 21y + 5y = 42

Combine like terms: 18 + 1 = 19
19 + 21y + 5y = 42

Combine like terms: 21y + 5y = 26y
19 + 26y = 42

Solving
19 + 26y = 42

Solving for variable 'y'.

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

Add '-19' to each side of the equation.
19 + -19 + 26y = 42 + -19

Combine like terms: 19 + -19 = 0
0 + 26y = 42 + -19
26y = 42 + -19

Combine like terms: 42 + -19 = 23
26y = 23

Divide each side by '26'.
y = 0.8846153846

Simplifying
y = 0.8846153846

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