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

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


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

Reorder the terms:
4(2 + y) + -1(y + -3) = 5
(2 * 4 + y * 4) + -1(y + -3) = 5
(8 + 4y) + -1(y + -3) = 5

Reorder the terms:
8 + 4y + -1(-3 + y) = 5
8 + 4y + (-3 * -1 + y * -1) = 5
8 + 4y + (3 + -1y) = 5

Reorder the terms:
8 + 3 + 4y + -1y = 5

Combine like terms: 8 + 3 = 11
11 + 4y + -1y = 5

Combine like terms: 4y + -1y = 3y
11 + 3y = 5

Solving
11 + 3y = 5

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + 3y = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 3y = 5 + -11
3y = 5 + -11

Combine like terms: 5 + -11 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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