9+8(2y+1)=2(3y+7)-1

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Solution for 9+8(2y+1)=2(3y+7)-1 equation: 


Simplifying
9 + 8(2y + 1) = 2(3y + 7) + -1

Reorder the terms:
9 + 8(1 + 2y) = 2(3y + 7) + -1
9 + (1 * 8 + 2y * 8) = 2(3y + 7) + -1
9 + (8 + 16y) = 2(3y + 7) + -1

Combine like terms: 9 + 8 = 17
17 + 16y = 2(3y + 7) + -1

Reorder the terms:
17 + 16y = 2(7 + 3y) + -1
17 + 16y = (7 * 2 + 3y * 2) + -1
17 + 16y = (14 + 6y) + -1

Reorder the terms:
17 + 16y = 14 + -1 + 6y

Combine like terms: 14 + -1 = 13
17 + 16y = 13 + 6y

Solving
17 + 16y = 13 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
17 + 16y + -6y = 13 + 6y + -6y

Combine like terms: 16y + -6y = 10y
17 + 10y = 13 + 6y + -6y

Combine like terms: 6y + -6y = 0
17 + 10y = 13 + 0
17 + 10y = 13

Add '-17' to each side of the equation.
17 + -17 + 10y = 13 + -17

Combine like terms: 17 + -17 = 0
0 + 10y = 13 + -17
10y = 13 + -17

Combine like terms: 13 + -17 = -4
10y = -4

Divide each side by '10'.
y = -0.4

Simplifying
y = -0.4

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