6(y-5)+3=8-2(y-4)

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Solution for 6(y-5)+3=8-2(y-4) equation:


Simplifying
6(y + -5) + 3 = 8 + -2(y + -4)

Reorder the terms:
6(-5 + y) + 3 = 8 + -2(y + -4)
(-5 * 6 + y * 6) + 3 = 8 + -2(y + -4)
(-30 + 6y) + 3 = 8 + -2(y + -4)

Reorder the terms:
-30 + 3 + 6y = 8 + -2(y + -4)

Combine like terms: -30 + 3 = -27
-27 + 6y = 8 + -2(y + -4)

Reorder the terms:
-27 + 6y = 8 + -2(-4 + y)
-27 + 6y = 8 + (-4 * -2 + y * -2)
-27 + 6y = 8 + (8 + -2y)

Combine like terms: 8 + 8 = 16
-27 + 6y = 16 + -2y

Solving
-27 + 6y = 16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-27 + 6y + 2y = 16 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-27 + 8y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-27 + 8y = 16 + 0
-27 + 8y = 16

Add '27' to each side of the equation.
-27 + 27 + 8y = 16 + 27

Combine like terms: -27 + 27 = 0
0 + 8y = 16 + 27
8y = 16 + 27

Combine like terms: 16 + 27 = 43
8y = 43

Divide each side by '8'.
y = 5.375

Simplifying
y = 5.375

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