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Simplifying -5(y + 7) = 3y + 29 Reorder the terms: -5(7 + y) = 3y + 29 (7 * -5 + y * -5) = 3y + 29 (-35 + -5y) = 3y + 29 Reorder the terms: -35 + -5y = 29 + 3y Solving -35 + -5y = 29 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -35 + -5y + -3y = 29 + 3y + -3y Combine like terms: -5y + -3y = -8y -35 + -8y = 29 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + -8y = 29 + 0 -35 + -8y = 29 Add '35' to each side of the equation. -35 + 35 + -8y = 29 + 35 Combine like terms: -35 + 35 = 0 0 + -8y = 29 + 35 -8y = 29 + 35 Combine like terms: 29 + 35 = 64 -8y = 64 Divide each side by '-8'. y = -8 Simplifying y = -8
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