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Simplifying -5(y + 7) = -2y + -38 Reorder the terms: -5(7 + y) = -2y + -38 (7 * -5 + y * -5) = -2y + -38 (-35 + -5y) = -2y + -38 Reorder the terms: -35 + -5y = -38 + -2y Solving -35 + -5y = -38 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -35 + -5y + 2y = -38 + -2y + 2y Combine like terms: -5y + 2y = -3y -35 + -3y = -38 + -2y + 2y Combine like terms: -2y + 2y = 0 -35 + -3y = -38 + 0 -35 + -3y = -38 Add '35' to each side of the equation. -35 + 35 + -3y = -38 + 35 Combine like terms: -35 + 35 = 0 0 + -3y = -38 + 35 -3y = -38 + 35 Combine like terms: -38 + 35 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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