6(y+2)-5(y+1)=1

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Solution for 6(y+2)-5(y+1)=1 equation: 


Simplifying
6(y + 2) + -5(y + 1) = 1

Reorder the terms:
6(2 + y) + -5(y + 1) = 1
(2 * 6 + y * 6) + -5(y + 1) = 1
(12 + 6y) + -5(y + 1) = 1

Reorder the terms:
12 + 6y + -5(1 + y) = 1
12 + 6y + (1 * -5 + y * -5) = 1
12 + 6y + (-5 + -5y) = 1

Reorder the terms:
12 + -5 + 6y + -5y = 1

Combine like terms: 12 + -5 = 7
7 + 6y + -5y = 1

Combine like terms: 6y + -5y = 1y
7 + 1y = 1

Solving
7 + 1y = 1

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + 1y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 1 + -7
1y = 1 + -7

Combine like terms: 1 + -7 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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