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

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


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

Combine like terms: 5 + -2 = 3
6(3) + -2 = 7(y + 3)

Multiply 6 * 3
18 + -2 = 7(y + 3)

Combine like terms: 18 + -2 = 16
16 = 7(y + 3)

Reorder the terms:
16 = 7(3 + y)
16 = (3 * 7 + y * 7)
16 = (21 + 7y)

Solving
16 = 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.
16 + -7y = 21 + 7y + -7y

Combine like terms: 7y + -7y = 0
16 + -7y = 21 + 0
16 + -7y = 21

Add '-16' to each side of the equation.
16 + -16 + -7y = 21 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = 21 + -16
-7y = 21 + -16

Combine like terms: 21 + -16 = 5
-7y = 5

Divide each side by '-7'.
y = -0.7142857143

Simplifying
y = -0.7142857143

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