(4y+5)-(2+3y)=7

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Solution for (4y+5)-(2+3y)=7 equation:


Simplifying
(4y + 5) + -1(2 + 3y) = 7

Reorder the terms:
(5 + 4y) + -1(2 + 3y) = 7

Remove parenthesis around (5 + 4y)
5 + 4y + -1(2 + 3y) = 7
5 + 4y + (2 * -1 + 3y * -1) = 7
5 + 4y + (-2 + -3y) = 7

Reorder the terms:
5 + -2 + 4y + -3y = 7

Combine like terms: 5 + -2 = 3
3 + 4y + -3y = 7

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

Solving
3 + 1y = 7

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 7 + -3
1y = 7 + -3

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

Divide each side by '1'.
y = 4

Simplifying
y = 4

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