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

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


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

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

Remove parenthesis around (2 + y)
8 + 2 + y = 4(y + -3)

Combine like terms: 8 + 2 = 10
10 + y = 4(y + -3)

Reorder the terms:
10 + y = 4(-3 + y)
10 + y = (-3 * 4 + y * 4)
10 + y = (-12 + 4y)

Solving
10 + y = -12 + 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.
10 + y + -4y = -12 + 4y + -4y

Combine like terms: y + -4y = -3y
10 + -3y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -3y = -12 + 0
10 + -3y = -12

Add '-10' to each side of the equation.
10 + -10 + -3y = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -12 + -10
-3y = -12 + -10

Combine like terms: -12 + -10 = -22
-3y = -22

Divide each side by '-3'.
y = 7.333333333

Simplifying
y = 7.333333333

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