3y-9=4y-7

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Solution for 3y-9=4y-7 equation:


Simplifying
3y + -9 = 4y + -7

Reorder the terms:
-9 + 3y = 4y + -7

Reorder the terms:
-9 + 3y = -7 + 4y

Solving
-9 + 3y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-9 + 3y + -4y = -7 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-9 + -1y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + -1y = -7 + 0
-9 + -1y = -7

Add '9' to each side of the equation.
-9 + 9 + -1y = -7 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -7 + 9
-1y = -7 + 9

Combine like terms: -7 + 9 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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