3(y+2)+2(7y+1)-4(y-3)=0

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Solution for 3(y+2)+2(7y+1)-4(y-3)=0 equation:


Simplifying
3(y + 2) + 2(7y + 1) + -4(y + -3) = 0

Reorder the terms:
3(2 + y) + 2(7y + 1) + -4(y + -3) = 0
(2 * 3 + y * 3) + 2(7y + 1) + -4(y + -3) = 0
(6 + 3y) + 2(7y + 1) + -4(y + -3) = 0

Reorder the terms:
6 + 3y + 2(1 + 7y) + -4(y + -3) = 0
6 + 3y + (1 * 2 + 7y * 2) + -4(y + -3) = 0
6 + 3y + (2 + 14y) + -4(y + -3) = 0

Reorder the terms:
6 + 3y + 2 + 14y + -4(-3 + y) = 0
6 + 3y + 2 + 14y + (-3 * -4 + y * -4) = 0
6 + 3y + 2 + 14y + (12 + -4y) = 0

Reorder the terms:
6 + 2 + 12 + 3y + 14y + -4y = 0

Combine like terms: 6 + 2 = 8
8 + 12 + 3y + 14y + -4y = 0

Combine like terms: 8 + 12 = 20
20 + 3y + 14y + -4y = 0

Combine like terms: 3y + 14y = 17y
20 + 17y + -4y = 0

Combine like terms: 17y + -4y = 13y
20 + 13y = 0

Solving
20 + 13y = 0

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 13y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 13y = 0 + -20
13y = 0 + -20

Combine like terms: 0 + -20 = -20
13y = -20

Divide each side by '13'.
y = -1.538461538

Simplifying
y = -1.538461538

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