4-3(2-1)=5(2)+(y+2)

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Solution for 4-3(2-1)=5(2)+(y+2) equation:


Simplifying
4 + -3(2 + -1) = 5(2) + (y + 2)

Combine like terms: 2 + -1 = 1
4 + -3(1) = 5(2) + (y + 2)

Multiply -3 * 1
4 + -3 = 5(2) + (y + 2)

Combine like terms: 4 + -3 = 1
1 = 5(2) + (y + 2)

Multiply 5 * 2
1 = 10 + (y + 2)

Reorder the terms:
1 = 10 + (2 + y)

Remove parenthesis around (2 + y)
1 = 10 + 2 + y

Combine like terms: 10 + 2 = 12
1 = 12 + y

Solving
1 = 12 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
1 + -1y = 12 + y + -1y

Combine like terms: y + -1y = 0
1 + -1y = 12 + 0
1 + -1y = 12

Add '-1' to each side of the equation.
1 + -1 + -1y = 12 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 12 + -1
-1y = 12 + -1

Combine like terms: 12 + -1 = 11
-1y = 11

Divide each side by '-1'.
y = -11

Simplifying
y = -11

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