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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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