4y+9=2y-6

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Solution for 4y+9=2y-6 equation:


Simplifying
4y + 9 = 2y + -6

Reorder the terms:
9 + 4y = 2y + -6

Reorder the terms:
9 + 4y = -6 + 2y

Solving
9 + 4y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
9 + 4y + -2y = -6 + 2y + -2y

Combine like terms: 4y + -2y = 2y
9 + 2y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 2y = -6 + 0
9 + 2y = -6

Add '-9' to each side of the equation.
9 + -9 + 2y = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = -6 + -9
2y = -6 + -9

Combine like terms: -6 + -9 = -15
2y = -15

Divide each side by '2'.
y = -7.5

Simplifying
y = -7.5

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