3(2y-5)=7(3y+1)-13+(-14y)

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Solution for 3(2y-5)=7(3y+1)-13+(-14y) equation:


Simplifying
3(2y + -5) = 7(3y + 1) + -13 + (-14y)

Reorder the terms:
3(-5 + 2y) = 7(3y + 1) + -13 + (-14y)
(-5 * 3 + 2y * 3) = 7(3y + 1) + -13 + (-14y)
(-15 + 6y) = 7(3y + 1) + -13 + (-14y)

Reorder the terms:
-15 + 6y = 7(1 + 3y) + -13 + (-14y)
-15 + 6y = (1 * 7 + 3y * 7) + -13 + (-14y)
-15 + 6y = (7 + 21y) + -13 + (-14y)

Reorder the terms:
-15 + 6y = 7 + -13 + 21y + (-14y)

Combine like terms: 7 + -13 = -6
-15 + 6y = -6 + 21y + (-14y)

Combine like terms: 21y + (-14y) = 7y
-15 + 6y = -6 + 7y

Solving
-15 + 6y = -6 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-15 + 6y + -7y = -6 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-15 + -1y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
-15 + -1y = -6 + 0
-15 + -1y = -6

Add '15' to each side of the equation.
-15 + 15 + -1y = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -1y = -6 + 15
-1y = -6 + 15

Combine like terms: -6 + 15 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9

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