8(y-2)=4(y+1)

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Solution for 8(y-2)=4(y+1) equation:


Simplifying
8(y + -2) = 4(y + 1)

Reorder the terms:
8(-2 + y) = 4(y + 1)
(-2 * 8 + y * 8) = 4(y + 1)
(-16 + 8y) = 4(y + 1)

Reorder the terms:
-16 + 8y = 4(1 + y)
-16 + 8y = (1 * 4 + y * 4)
-16 + 8y = (4 + 4y)

Solving
-16 + 8y = 4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-16 + 8y + -4y = 4 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-16 + 4y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-16 + 4y = 4 + 0
-16 + 4y = 4

Add '16' to each side of the equation.
-16 + 16 + 4y = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 4 + 16
4y = 4 + 16

Combine like terms: 4 + 16 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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