6(y+7)=5y+20

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Solution for 6(y+7)=5y+20 equation: 


Simplifying
6(y + 7) = 5y + 20

Reorder the terms:
6(7 + y) = 5y + 20
(7 * 6 + y * 6) = 5y + 20
(42 + 6y) = 5y + 20

Reorder the terms:
42 + 6y = 20 + 5y

Solving
42 + 6y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
42 + 6y + -5y = 20 + 5y + -5y

Combine like terms: 6y + -5y = 1y
42 + 1y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
42 + 1y = 20 + 0
42 + 1y = 20

Add '-42' to each side of the equation.
42 + -42 + 1y = 20 + -42

Combine like terms: 42 + -42 = 0
0 + 1y = 20 + -42
1y = 20 + -42

Combine like terms: 20 + -42 = -22
1y = -22

Divide each side by '1'.
y = -22

Simplifying
y = -22

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