4(y-3)-28=-5(y+2)+6

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Solution for 4(y-3)-28=-5(y+2)+6 equation: 


Simplifying
4(y + -3) + -28 = -5(y + 2) + 6

Reorder the terms:
4(-3 + y) + -28 = -5(y + 2) + 6
(-3 * 4 + y * 4) + -28 = -5(y + 2) + 6
(-12 + 4y) + -28 = -5(y + 2) + 6

Reorder the terms:
-12 + -28 + 4y = -5(y + 2) + 6

Combine like terms: -12 + -28 = -40
-40 + 4y = -5(y + 2) + 6

Reorder the terms:
-40 + 4y = -5(2 + y) + 6
-40 + 4y = (2 * -5 + y * -5) + 6
-40 + 4y = (-10 + -5y) + 6

Reorder the terms:
-40 + 4y = -10 + 6 + -5y

Combine like terms: -10 + 6 = -4
-40 + 4y = -4 + -5y

Solving
-40 + 4y = -4 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-40 + 4y + 5y = -4 + -5y + 5y

Combine like terms: 4y + 5y = 9y
-40 + 9y = -4 + -5y + 5y

Combine like terms: -5y + 5y = 0
-40 + 9y = -4 + 0
-40 + 9y = -4

Add '40' to each side of the equation.
-40 + 40 + 9y = -4 + 40

Combine like terms: -40 + 40 = 0
0 + 9y = -4 + 40
9y = -4 + 40

Combine like terms: -4 + 40 = 36
9y = 36

Divide each side by '9'.
y = 4

Simplifying
y = 4

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