2(y-1)+3(Y+2)=8

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Solution for 2(y-1)+3(Y+2)=8 equation: 


Simplifying
2(y + -1) + 3(Y + 2) = 8

Reorder the terms:
2(-1 + y) + 3(Y + 2) = 8
(-1 * 2 + y * 2) + 3(Y + 2) = 8
(-2 + 2y) + 3(Y + 2) = 8

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

Reorder the terms:
-2 + 6 + 3Y + 2y = 8

Combine like terms: -2 + 6 = 4
4 + 3Y + 2y = 8

Solving
4 + 3Y + 2y = 8

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 + 3Y + -4 + 2y = 8 + -4

Reorder the terms:
4 + -4 + 3Y + 2y = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 3Y + 2y = 8 + -4
3Y + 2y = 8 + -4

Combine like terms: 8 + -4 = 4
3Y + 2y = 4

Add '-2y' to each side of the equation.
3Y + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0
3Y + 0 = 4 + -2y
3Y = 4 + -2y

Divide each side by '3'.
Y = 1.333333333 + -0.6666666667y

Simplifying
Y = 1.333333333 + -0.6666666667y

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