4(y+8)-3(y+5)=(3y+1)

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Solution for 4(y+8)-3(y+5)=(3y+1) equation:


Simplifying
4(y + 8) + -3(y + 5) = (3y + 1)

Reorder the terms:
4(8 + y) + -3(y + 5) = (3y + 1)
(8 * 4 + y * 4) + -3(y + 5) = (3y + 1)
(32 + 4y) + -3(y + 5) = (3y + 1)

Reorder the terms:
32 + 4y + -3(5 + y) = (3y + 1)
32 + 4y + (5 * -3 + y * -3) = (3y + 1)
32 + 4y + (-15 + -3y) = (3y + 1)

Reorder the terms:
32 + -15 + 4y + -3y = (3y + 1)

Combine like terms: 32 + -15 = 17
17 + 4y + -3y = (3y + 1)

Combine like terms: 4y + -3y = 1y
17 + 1y = (3y + 1)

Reorder the terms:
17 + 1y = (1 + 3y)

Remove parenthesis around (1 + 3y)
17 + 1y = 1 + 3y

Solving
17 + 1y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
17 + 1y + -3y = 1 + 3y + -3y

Combine like terms: 1y + -3y = -2y
17 + -2y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + -2y = 1 + 0
17 + -2y = 1

Add '-17' to each side of the equation.
17 + -17 + -2y = 1 + -17

Combine like terms: 17 + -17 = 0
0 + -2y = 1 + -17
-2y = 1 + -17

Combine like terms: 1 + -17 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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