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

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


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

Reorder the terms:
2(2 + y) = 8(y + -3) + 1
(2 * 2 + y * 2) = 8(y + -3) + 1
(4 + 2y) = 8(y + -3) + 1

Reorder the terms:
4 + 2y = 8(-3 + y) + 1
4 + 2y = (-3 * 8 + y * 8) + 1
4 + 2y = (-24 + 8y) + 1

Reorder the terms:
4 + 2y = -24 + 1 + 8y

Combine like terms: -24 + 1 = -23
4 + 2y = -23 + 8y

Solving
4 + 2y = -23 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
4 + 2y + -8y = -23 + 8y + -8y

Combine like terms: 2y + -8y = -6y
4 + -6y = -23 + 8y + -8y

Combine like terms: 8y + -8y = 0
4 + -6y = -23 + 0
4 + -6y = -23

Add '-4' to each side of the equation.
4 + -4 + -6y = -23 + -4

Combine like terms: 4 + -4 = 0
0 + -6y = -23 + -4
-6y = -23 + -4

Combine like terms: -23 + -4 = -27
-6y = -27

Divide each side by '-6'.
y = 4.5

Simplifying
y = 4.5

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