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

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


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

Reorder the terms:
5y + 3(-4 + y) = 5(y + 1) + -4
5y + (-4 * 3 + y * 3) = 5(y + 1) + -4
5y + (-12 + 3y) = 5(y + 1) + -4

Reorder the terms:
-12 + 5y + 3y = 5(y + 1) + -4

Combine like terms: 5y + 3y = 8y
-12 + 8y = 5(y + 1) + -4

Reorder the terms:
-12 + 8y = 5(1 + y) + -4
-12 + 8y = (1 * 5 + y * 5) + -4
-12 + 8y = (5 + 5y) + -4

Reorder the terms:
-12 + 8y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-12 + 8y = 1 + 5y

Solving
-12 + 8y = 1 + 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.
-12 + 8y + -5y = 1 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-12 + 3y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 3y = 1 + 0
-12 + 3y = 1

Add '12' to each side of the equation.
-12 + 12 + 3y = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 1 + 12
3y = 1 + 12

Combine like terms: 1 + 12 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333

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