7(y-9)=6(y-3)

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Solution for 7(y-9)=6(y-3) equation:


Simplifying
7(y + -9) = 6(y + -3)

Reorder the terms:
7(-9 + y) = 6(y + -3)
(-9 * 7 + y * 7) = 6(y + -3)
(-63 + 7y) = 6(y + -3)

Reorder the terms:
-63 + 7y = 6(-3 + y)
-63 + 7y = (-3 * 6 + y * 6)
-63 + 7y = (-18 + 6y)

Solving
-63 + 7y = -18 + 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.
-63 + 7y + -6y = -18 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-63 + 1y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
-63 + 1y = -18 + 0
-63 + 1y = -18

Add '63' to each side of the equation.
-63 + 63 + 1y = -18 + 63

Combine like terms: -63 + 63 = 0
0 + 1y = -18 + 63
1y = -18 + 63

Combine like terms: -18 + 63 = 45
1y = 45

Divide each side by '1'.
y = 45

Simplifying
y = 45

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