14y-(3y-15)-[5y+2-(y-19)]=0

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Solution for 14y-(3y-15)-[5y+2-(y-19)]=0 equation:


Simplifying
14y + -1(3y + -15) + -1[5y + 2 + -1(y + -19)] = 0

Reorder the terms:
14y + -1(-15 + 3y) + -1[5y + 2 + -1(y + -19)] = 0
14y + (-15 * -1 + 3y * -1) + -1[5y + 2 + -1(y + -19)] = 0
14y + (15 + -3y) + -1[5y + 2 + -1(y + -19)] = 0

Reorder the terms:
14y + 15 + -3y + -1[5y + 2 + -1(-19 + y)] = 0
14y + 15 + -3y + -1[5y + 2 + (-19 * -1 + y * -1)] = 0
14y + 15 + -3y + -1[5y + 2 + (19 + -1y)] = 0

Reorder the terms:
14y + 15 + -3y + -1[2 + 19 + 5y + -1y] = 0

Combine like terms: 2 + 19 = 21
14y + 15 + -3y + -1[21 + 5y + -1y] = 0

Combine like terms: 5y + -1y = 4y
14y + 15 + -3y + -1[21 + 4y] = 0
14y + 15 + -3y + [21 * -1 + 4y * -1] = 0
14y + 15 + -3y + [-21 + -4y] = 0

Reorder the terms:
15 + -21 + 14y + -3y + -4y = 0

Combine like terms: 15 + -21 = -6
-6 + 14y + -3y + -4y = 0

Combine like terms: 14y + -3y = 11y
-6 + 11y + -4y = 0

Combine like terms: 11y + -4y = 7y
-6 + 7y = 0

Solving
-6 + 7y = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 7y = 0 + 6

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

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

Divide each side by '7'.
y = 0.8571428571

Simplifying
y = 0.8571428571

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