4y+9=7y-6

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Solution for 4y+9=7y-6 equation:


Simplifying
4y + 9 = 7y + -6

Reorder the terms:
9 + 4y = 7y + -6

Reorder the terms:
9 + 4y = -6 + 7y

Solving
9 + 4y = -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.
9 + 4y + -7y = -6 + 7y + -7y

Combine like terms: 4y + -7y = -3y
9 + -3y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
9 + -3y = -6 + 0
9 + -3y = -6

Add '-9' to each side of the equation.
9 + -9 + -3y = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -6 + -9
-3y = -6 + -9

Combine like terms: -6 + -9 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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