7y-8(42+10y)=29

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Solution for 7y-8(42+10y)=29 equation:


Simplifying
7y + -8(42 + 10y) = 29
7y + (42 * -8 + 10y * -8) = 29
7y + (-336 + -80y) = 29

Reorder the terms:
-336 + 7y + -80y = 29

Combine like terms: 7y + -80y = -73y
-336 + -73y = 29

Solving
-336 + -73y = 29

Solving for variable 'y'.

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

Add '336' to each side of the equation.
-336 + 336 + -73y = 29 + 336

Combine like terms: -336 + 336 = 0
0 + -73y = 29 + 336
-73y = 29 + 336

Combine like terms: 29 + 336 = 365
-73y = 365

Divide each side by '-73'.
y = -5

Simplifying
y = -5

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