29=7(y-7)+6y

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Solution for 29=7(y-7)+6y equation:


Simplifying
29 = 7(y + -7) + 6y

Reorder the terms:
29 = 7(-7 + y) + 6y
29 = (-7 * 7 + y * 7) + 6y
29 = (-49 + 7y) + 6y

Combine like terms: 7y + 6y = 13y
29 = -49 + 13y

Solving
29 = -49 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
29 + -13y = -49 + 13y + -13y

Combine like terms: 13y + -13y = 0
29 + -13y = -49 + 0
29 + -13y = -49

Add '-29' to each side of the equation.
29 + -29 + -13y = -49 + -29

Combine like terms: 29 + -29 = 0
0 + -13y = -49 + -29
-13y = -49 + -29

Combine like terms: -49 + -29 = -78
-13y = -78

Divide each side by '-13'.
y = 6

Simplifying
y = 6

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