(4y+7)-(2+3y)=6

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Solution for (4y+7)-(2+3y)=6 equation:


Simplifying
(4y + 7) + -1(2 + 3y) = 6

Reorder the terms:
(7 + 4y) + -1(2 + 3y) = 6

Remove parenthesis around (7 + 4y)
7 + 4y + -1(2 + 3y) = 6
7 + 4y + (2 * -1 + 3y * -1) = 6
7 + 4y + (-2 + -3y) = 6

Reorder the terms:
7 + -2 + 4y + -3y = 6

Combine like terms: 7 + -2 = 5
5 + 4y + -3y = 6

Combine like terms: 4y + -3y = 1y
5 + 1y = 6

Solving
5 + 1y = 6

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 1y = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 6 + -5
1y = 6 + -5

Combine like terms: 6 + -5 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1

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