2(2y+1)-3(y-5)=18

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Solution for 2(2y+1)-3(y-5)=18 equation: 


Simplifying
2(2y + 1) + -3(y + -5) = 18

Reorder the terms:
2(1 + 2y) + -3(y + -5) = 18
(1 * 2 + 2y * 2) + -3(y + -5) = 18
(2 + 4y) + -3(y + -5) = 18

Reorder the terms:
2 + 4y + -3(-5 + y) = 18
2 + 4y + (-5 * -3 + y * -3) = 18
2 + 4y + (15 + -3y) = 18

Reorder the terms:
2 + 15 + 4y + -3y = 18

Combine like terms: 2 + 15 = 17
17 + 4y + -3y = 18

Combine like terms: 4y + -3y = 1y
17 + 1y = 18

Solving
17 + 1y = 18

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 1y = 18 + -17

Combine like terms: 17 + -17 = 0
0 + 1y = 18 + -17
1y = 18 + -17

Combine like terms: 18 + -17 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1

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