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

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


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

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

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

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

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

Reorder the terms:
17 + 4x + -3y = 3(1 + y)
17 + 4x + -3y = (1 * 3 + y * 3)
17 + 4x + -3y = (3 + 3y)

Solving
17 + 4x + -3y = 3 + 3y

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + 4x + -17 + -3y = 3 + -17 + 3y

Reorder the terms:
17 + -17 + 4x + -3y = 3 + -17 + 3y

Combine like terms: 17 + -17 = 0
0 + 4x + -3y = 3 + -17 + 3y
4x + -3y = 3 + -17 + 3y

Combine like terms: 3 + -17 = -14
4x + -3y = -14 + 3y

Add '3y' to each side of the equation.
4x + -3y + 3y = -14 + 3y + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = -14 + 3y + 3y
4x = -14 + 3y + 3y

Combine like terms: 3y + 3y = 6y
4x = -14 + 6y

Divide each side by '4'.
x = -3.5 + 1.5y

Simplifying
x = -3.5 + 1.5y

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