8(Y+2)-7(Y+1)=7

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Solution for 8(Y+2)-7(Y+1)=7 equation: 


Simplifying
8(Y + 2) + -7(Y + 1) = 7

Reorder the terms:
8(2 + Y) + -7(Y + 1) = 7
(2 * 8 + Y * 8) + -7(Y + 1) = 7
(16 + 8Y) + -7(Y + 1) = 7

Reorder the terms:
16 + 8Y + -7(1 + Y) = 7
16 + 8Y + (1 * -7 + Y * -7) = 7
16 + 8Y + (-7 + -7Y) = 7

Reorder the terms:
16 + -7 + 8Y + -7Y = 7

Combine like terms: 16 + -7 = 9
9 + 8Y + -7Y = 7

Combine like terms: 8Y + -7Y = 1Y
9 + 1Y = 7

Solving
9 + 1Y = 7

Solving for variable 'Y'.

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

Add '-9' to each side of the equation.
9 + -9 + 1Y = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 1Y = 7 + -9
1Y = 7 + -9

Combine like terms: 7 + -9 = -2
1Y = -2

Divide each side by '1'.
Y = -2

Simplifying
Y = -2

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