3y+29=-8(y+6)

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Solution for 3y+29=-8(y+6) equation:


Simplifying
3y + 29 = -8(y + 6)

Reorder the terms:
29 + 3y = -8(y + 6)

Reorder the terms:
29 + 3y = -8(6 + y)
29 + 3y = (6 * -8 + y * -8)
29 + 3y = (-48 + -8y)

Solving
29 + 3y = -48 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
29 + 3y + 8y = -48 + -8y + 8y

Combine like terms: 3y + 8y = 11y
29 + 11y = -48 + -8y + 8y

Combine like terms: -8y + 8y = 0
29 + 11y = -48 + 0
29 + 11y = -48

Add '-29' to each side of the equation.
29 + -29 + 11y = -48 + -29

Combine like terms: 29 + -29 = 0
0 + 11y = -48 + -29
11y = -48 + -29

Combine like terms: -48 + -29 = -77
11y = -77

Divide each side by '11'.
y = -7

Simplifying
y = -7

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