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

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


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

Reorder the terms:
2(4 + y) + 3(2y + -5) = 5
(4 * 2 + y * 2) + 3(2y + -5) = 5
(8 + 2y) + 3(2y + -5) = 5

Reorder the terms:
8 + 2y + 3(-5 + 2y) = 5
8 + 2y + (-5 * 3 + 2y * 3) = 5
8 + 2y + (-15 + 6y) = 5

Reorder the terms:
8 + -15 + 2y + 6y = 5

Combine like terms: 8 + -15 = -7
-7 + 2y + 6y = 5

Combine like terms: 2y + 6y = 8y
-7 + 8y = 5

Solving
-7 + 8y = 5

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 8y = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 8y = 5 + 7
8y = 5 + 7

Combine like terms: 5 + 7 = 12
8y = 12

Divide each side by '8'.
y = 1.5

Simplifying
y = 1.5

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