(5y+7)-(3+4y)=7

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Solution for (5y+7)-(3+4y)=7 equation:


Simplifying
(5y + 7) + -1(3 + 4y) = 7

Reorder the terms:
(7 + 5y) + -1(3 + 4y) = 7

Remove parenthesis around (7 + 5y)
7 + 5y + -1(3 + 4y) = 7
7 + 5y + (3 * -1 + 4y * -1) = 7
7 + 5y + (-3 + -4y) = 7

Reorder the terms:
7 + -3 + 5y + -4y = 7

Combine like terms: 7 + -3 = 4
4 + 5y + -4y = 7

Combine like terms: 5y + -4y = 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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