10-2*y*7=7(y+2)6

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Solution for 10-2*y*7=7(y+2)6 equation: 


Simplifying
10 + -2y * 7 = 7(y + 2) * 6

Reorder the terms for easier multiplication:
10 + -2 * 7y = 7(y + 2) * 6

Multiply -2 * 7
10 + -14y = 7(y + 2) * 6

Reorder the terms:
10 + -14y = 7(2 + y) * 6

Reorder the terms for easier multiplication:
10 + -14y = 7 * 6(2 + y)

Multiply 7 * 6
10 + -14y = 42(2 + y)
10 + -14y = (2 * 42 + y * 42)
10 + -14y = (84 + 42y)

Solving
10 + -14y = 84 + 42y

Solving for variable 'y'.

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

Add '-42y' to each side of the equation.
10 + -14y + -42y = 84 + 42y + -42y

Combine like terms: -14y + -42y = -56y
10 + -56y = 84 + 42y + -42y

Combine like terms: 42y + -42y = 0
10 + -56y = 84 + 0
10 + -56y = 84

Add '-10' to each side of the equation.
10 + -10 + -56y = 84 + -10

Combine like terms: 10 + -10 = 0
0 + -56y = 84 + -10
-56y = 84 + -10

Combine like terms: 84 + -10 = 74
-56y = 74

Divide each side by '-56'.
y = -1.321428571

Simplifying
y = -1.321428571

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