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

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


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

Reorder the terms:
5(1 + 2y) + -3(2y + -4) = 1
(1 * 5 + 2y * 5) + -3(2y + -4) = 1
(5 + 10y) + -3(2y + -4) = 1

Reorder the terms:
5 + 10y + -3(-4 + 2y) = 1
5 + 10y + (-4 * -3 + 2y * -3) = 1
5 + 10y + (12 + -6y) = 1

Reorder the terms:
5 + 12 + 10y + -6y = 1

Combine like terms: 5 + 12 = 17
17 + 10y + -6y = 1

Combine like terms: 10y + -6y = 4y
17 + 4y = 1

Solving
17 + 4y = 1

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 4y = 1 + -17

Combine like terms: 17 + -17 = 0
0 + 4y = 1 + -17
4y = 1 + -17

Combine like terms: 1 + -17 = -16
4y = -16

Divide each side by '4'.
y = -4

Simplifying
y = -4

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