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Simplifying 5(y + -7) = 3(y + -4) + -29 Reorder the terms: 5(-7 + y) = 3(y + -4) + -29 (-7 * 5 + y * 5) = 3(y + -4) + -29 (-35 + 5y) = 3(y + -4) + -29 Reorder the terms: -35 + 5y = 3(-4 + y) + -29 -35 + 5y = (-4 * 3 + y * 3) + -29 -35 + 5y = (-12 + 3y) + -29 Reorder the terms: -35 + 5y = -12 + -29 + 3y Combine like terms: -12 + -29 = -41 -35 + 5y = -41 + 3y Solving -35 + 5y = -41 + 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 = -41 + 3y + -3y Combine like terms: 5y + -3y = 2y -35 + 2y = -41 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + 2y = -41 + 0 -35 + 2y = -41 Add '35' to each side of the equation. -35 + 35 + 2y = -41 + 35 Combine like terms: -35 + 35 = 0 0 + 2y = -41 + 35 2y = -41 + 35 Combine like terms: -41 + 35 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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