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

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


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

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

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

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

Combine like terms: 4 + -3 = 1
1 + 5y + -4y = 7

Combine like terms: 5y + -4y = 1y
1 + 1y = 7

Solving
1 + 1y = 7

Solving for variable 'y'.

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

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

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

Combine like terms: 7 + -1 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6

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