(4y+8)-(4+3y)=7

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Solution for (4y+8)-(4+3y)=7 equation:


Simplifying
(4y + 8) + -1(4 + 3y) = 7

Reorder the terms:
(8 + 4y) + -1(4 + 3y) = 7

Remove parenthesis around (8 + 4y)
8 + 4y + -1(4 + 3y) = 7
8 + 4y + (4 * -1 + 3y * -1) = 7
8 + 4y + (-4 + -3y) = 7

Reorder the terms:
8 + -4 + 4y + -3y = 7

Combine like terms: 8 + -4 = 4
4 + 4y + -3y = 7

Combine like terms: 4y + -3y = 1y
4 + 1y = 7

Solving
4 + 1y = 7

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 1y = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = 7 + -4
1y = 7 + -4

Combine like terms: 7 + -4 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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