3y+7=14-(-6y+4)

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Solution for 3y+7=14-(-6y+4) equation:


Simplifying
3y + 7 = 14 + -1(-6y + 4)

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

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

Combine like terms: 14 + -4 = 10
7 + 3y = 10 + 6y

Solving
7 + 3y = 10 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
7 + 3y + -6y = 10 + 6y + -6y

Combine like terms: 3y + -6y = -3y
7 + -3y = 10 + 6y + -6y

Combine like terms: 6y + -6y = 0
7 + -3y = 10 + 0
7 + -3y = 10

Add '-7' to each side of the equation.
7 + -7 + -3y = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 10 + -7
-3y = 10 + -7

Combine like terms: 10 + -7 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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