2(3y-1)+3(4-y)=13

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Solution for 2(3y-1)+3(4-y)=13 equation: 


Simplifying
2(3y + -1) + 3(4 + -1y) = 13

Reorder the terms:
2(-1 + 3y) + 3(4 + -1y) = 13
(-1 * 2 + 3y * 2) + 3(4 + -1y) = 13
(-2 + 6y) + 3(4 + -1y) = 13
-2 + 6y + (4 * 3 + -1y * 3) = 13
-2 + 6y + (12 + -3y) = 13

Reorder the terms:
-2 + 12 + 6y + -3y = 13

Combine like terms: -2 + 12 = 10
10 + 6y + -3y = 13

Combine like terms: 6y + -3y = 3y
10 + 3y = 13

Solving
10 + 3y = 13

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 13 + -10
3y = 13 + -10

Combine like terms: 13 + -10 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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