3(2y)+1+5(4-y)=1

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Solution for 3(2y)+1+5(4-y)=1 equation: 


Simplifying
3(2y) + 1 + 5(4 + -1y) = 1

Remove parenthesis around (2y)
3 * 2y + 1 + 5(4 + -1y) = 1

Multiply 3 * 2
6y + 1 + 5(4 + -1y) = 1
6y + 1 + (4 * 5 + -1y * 5) = 1
6y + 1 + (20 + -5y) = 1

Reorder the terms:
1 + 20 + 6y + -5y = 1

Combine like terms: 1 + 20 = 21
21 + 6y + -5y = 1

Combine like terms: 6y + -5y = 1y
21 + 1y = 1

Solving
21 + 1y = 1

Solving for variable 'y'.

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

Add '-21' to each side of the equation.
21 + -21 + 1y = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 1y = 1 + -21
1y = 1 + -21

Combine like terms: 1 + -21 = -20
1y = -20

Divide each side by '1'.
y = -20

Simplifying
y = -20

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