6y+3(y-4)=4(y+1)-2

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Solution for 6y+3(y-4)=4(y+1)-2 equation:


Simplifying
6y + 3(y + -4) = 4(y + 1) + -2

Reorder the terms:
6y + 3(-4 + y) = 4(y + 1) + -2
6y + (-4 * 3 + y * 3) = 4(y + 1) + -2
6y + (-12 + 3y) = 4(y + 1) + -2

Reorder the terms:
-12 + 6y + 3y = 4(y + 1) + -2

Combine like terms: 6y + 3y = 9y
-12 + 9y = 4(y + 1) + -2

Reorder the terms:
-12 + 9y = 4(1 + y) + -2
-12 + 9y = (1 * 4 + y * 4) + -2
-12 + 9y = (4 + 4y) + -2

Reorder the terms:
-12 + 9y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-12 + 9y = 2 + 4y

Solving
-12 + 9y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-12 + 9y + -4y = 2 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-12 + 5y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-12 + 5y = 2 + 0
-12 + 5y = 2

Add '12' to each side of the equation.
-12 + 12 + 5y = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 2 + 12
5y = 2 + 12

Combine like terms: 2 + 12 = 14
5y = 14

Divide each side by '5'.
y = 2.8

Simplifying
y = 2.8

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