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

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


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

Combine like terms: 3 + -2 = 1
6(1) + -2 = 7(y + 3)

Multiply 6 * 1
6 + -2 = 7(y + 3)

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

Reorder the terms:
4 = 7(3 + y)
4 = (3 * 7 + y * 7)
4 = (21 + 7y)

Solving
4 = 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.
4 + -7y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
4 + -7y = 21 + 0
4 + -7y = 21

Add '-4' to each side of the equation.
4 + -4 + -7y = 21 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = 21 + -4
-7y = 21 + -4

Combine like terms: 21 + -4 = 17
-7y = 17

Divide each side by '-7'.
y = -2.428571429

Simplifying
y = -2.428571429

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