2(2y-1)+3(y+2)=2(2y+5)-4y

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Solution for 2(2y-1)+3(y+2)=2(2y+5)-4y equation: 


Simplifying
2(2y + -1) + 3(y + 2) = 2(2y + 5) + -4y

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

Reorder the terms:
-2 + 4y + 3(2 + y) = 2(2y + 5) + -4y
-2 + 4y + (2 * 3 + y * 3) = 2(2y + 5) + -4y
-2 + 4y + (6 + 3y) = 2(2y + 5) + -4y

Reorder the terms:
-2 + 6 + 4y + 3y = 2(2y + 5) + -4y

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

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

Reorder the terms:
4 + 7y = 2(5 + 2y) + -4y
4 + 7y = (5 * 2 + 2y * 2) + -4y
4 + 7y = (10 + 4y) + -4y

Combine like terms: 4y + -4y = 0
4 + 7y = 10 + 0
4 + 7y = 10

Solving
4 + 7y = 10

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 7y = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 7y = 10 + -4
7y = 10 + -4

Combine like terms: 10 + -4 = 6
7y = 6

Divide each side by '7'.
y = 0.8571428571

Simplifying
y = 0.8571428571

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