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

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


Simplifying
2(2 + -3y) = 3(2y + 5) + 4
(2 * 2 + -3y * 2) = 3(2y + 5) + 4
(4 + -6y) = 3(2y + 5) + 4

Reorder the terms:
4 + -6y = 3(5 + 2y) + 4
4 + -6y = (5 * 3 + 2y * 3) + 4
4 + -6y = (15 + 6y) + 4

Reorder the terms:
4 + -6y = 15 + 4 + 6y

Combine like terms: 15 + 4 = 19
4 + -6y = 19 + 6y

Solving
4 + -6y = 19 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + -6y + -6y = 19 + 6y + -6y

Combine like terms: -6y + -6y = -12y
4 + -12y = 19 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -12y = 19 + 0
4 + -12y = 19

Add '-4' to each side of the equation.
4 + -4 + -12y = 19 + -4

Combine like terms: 4 + -4 = 0
0 + -12y = 19 + -4
-12y = 19 + -4

Combine like terms: 19 + -4 = 15
-12y = 15

Divide each side by '-12'.
y = -1.25

Simplifying
y = -1.25

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