7(5y-2)=6(6y-1)

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Solution for 7(5y-2)=6(6y-1) equation:


Simplifying
7(5y + -2) = 6(6y + -1)

Reorder the terms:
7(-2 + 5y) = 6(6y + -1)
(-2 * 7 + 5y * 7) = 6(6y + -1)
(-14 + 35y) = 6(6y + -1)

Reorder the terms:
-14 + 35y = 6(-1 + 6y)
-14 + 35y = (-1 * 6 + 6y * 6)
-14 + 35y = (-6 + 36y)

Solving
-14 + 35y = -6 + 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
-14 + 35y + -36y = -6 + 36y + -36y

Combine like terms: 35y + -36y = -1y
-14 + -1y = -6 + 36y + -36y

Combine like terms: 36y + -36y = 0
-14 + -1y = -6 + 0
-14 + -1y = -6

Add '14' to each side of the equation.
-14 + 14 + -1y = -6 + 14

Combine like terms: -14 + 14 = 0
0 + -1y = -6 + 14
-1y = -6 + 14

Combine like terms: -6 + 14 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

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