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Simplifying -7(y + -6) = 6y + 29 Reorder the terms: -7(-6 + y) = 6y + 29 (-6 * -7 + y * -7) = 6y + 29 (42 + -7y) = 6y + 29 Reorder the terms: 42 + -7y = 29 + 6y Solving 42 + -7y = 29 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 42 + -7y + -6y = 29 + 6y + -6y Combine like terms: -7y + -6y = -13y 42 + -13y = 29 + 6y + -6y Combine like terms: 6y + -6y = 0 42 + -13y = 29 + 0 42 + -13y = 29 Add '-42' to each side of the equation. 42 + -42 + -13y = 29 + -42 Combine like terms: 42 + -42 = 0 0 + -13y = 29 + -42 -13y = 29 + -42 Combine like terms: 29 + -42 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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