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

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


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

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

Combine like terms: 5 + -12 = -7
-7 + 3y = 5(y + 2) + -4

Reorder the terms:
-7 + 3y = 5(2 + y) + -4
-7 + 3y = (2 * 5 + y * 5) + -4
-7 + 3y = (10 + 5y) + -4

Reorder the terms:
-7 + 3y = 10 + -4 + 5y

Combine like terms: 10 + -4 = 6
-7 + 3y = 6 + 5y

Solving
-7 + 3y = 6 + 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.
-7 + 3y + -5y = 6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-7 + -2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -2y = 6 + 0
-7 + -2y = 6

Add '7' to each side of the equation.
-7 + 7 + -2y = 6 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 6 + 7
-2y = 6 + 7

Combine like terms: 6 + 7 = 13
-2y = 13

Divide each side by '-2'.
y = -6.5

Simplifying
y = -6.5

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