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Simplifying 5(y + -3) = 2y + -33 Reorder the terms: 5(-3 + y) = 2y + -33 (-3 * 5 + y * 5) = 2y + -33 (-15 + 5y) = 2y + -33 Reorder the terms: -15 + 5y = -33 + 2y Solving -15 + 5y = -33 + 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. -15 + 5y + -2y = -33 + 2y + -2y Combine like terms: 5y + -2y = 3y -15 + 3y = -33 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 3y = -33 + 0 -15 + 3y = -33 Add '15' to each side of the equation. -15 + 15 + 3y = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 3y = -33 + 15 3y = -33 + 15 Combine like terms: -33 + 15 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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