6(4-2)-2=7(y+3)

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Solution for 6(4-2)-2=7(y+3) equation: 


Simplifying
6(4 + -2) + -2 = 7(y + 3)

Combine like terms: 4 + -2 = 2
6(2) + -2 = 7(y + 3)

Multiply 6 * 2
12 + -2 = 7(y + 3)

Combine like terms: 12 + -2 = 10
10 = 7(y + 3)

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

Solving
10 = 21 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + -7y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -7y = 21 + 0
10 + -7y = 21

Add '-10' to each side of the equation.
10 + -10 + -7y = 21 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = 21 + -10
-7y = 21 + -10

Combine like terms: 21 + -10 = 11
-7y = 11

Divide each side by '-7'.
y = -1.571428571

Simplifying
y = -1.571428571

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