3(y+4)+2(y-3)=26

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Solution for 3(y+4)+2(y-3)=26 equation:


Simplifying
3(y + 4) + 2(y + -3) = 26

Reorder the terms:
3(4 + y) + 2(y + -3) = 26
(4 * 3 + y * 3) + 2(y + -3) = 26
(12 + 3y) + 2(y + -3) = 26

Reorder the terms:
12 + 3y + 2(-3 + y) = 26
12 + 3y + (-3 * 2 + y * 2) = 26
12 + 3y + (-6 + 2y) = 26

Reorder the terms:
12 + -6 + 3y + 2y = 26

Combine like terms: 12 + -6 = 6
6 + 3y + 2y = 26

Combine like terms: 3y + 2y = 5y
6 + 5y = 26

Solving
6 + 5y = 26

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 5y = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 26 + -6
5y = 26 + -6

Combine like terms: 26 + -6 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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