2(5y-6)=3(3y-7)

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Solution for 2(5y-6)=3(3y-7) equation:


Simplifying
2(5y + -6) = 3(3y + -7)

Reorder the terms:
2(-6 + 5y) = 3(3y + -7)
(-6 * 2 + 5y * 2) = 3(3y + -7)
(-12 + 10y) = 3(3y + -7)

Reorder the terms:
-12 + 10y = 3(-7 + 3y)
-12 + 10y = (-7 * 3 + 3y * 3)
-12 + 10y = (-21 + 9y)

Solving
-12 + 10y = -21 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-12 + 10y + -9y = -21 + 9y + -9y

Combine like terms: 10y + -9y = 1y
-12 + 1y = -21 + 9y + -9y

Combine like terms: 9y + -9y = 0
-12 + 1y = -21 + 0
-12 + 1y = -21

Add '12' to each side of the equation.
-12 + 12 + 1y = -21 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = -21 + 12
1y = -21 + 12

Combine like terms: -21 + 12 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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