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Simplifying -5(y + 3) = 3(12 + 2y) Reorder the terms: -5(3 + y) = 3(12 + 2y) (3 * -5 + y * -5) = 3(12 + 2y) (-15 + -5y) = 3(12 + 2y) -15 + -5y = (12 * 3 + 2y * 3) -15 + -5y = (36 + 6y) Solving -15 + -5y = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -15 + -5y + -6y = 36 + 6y + -6y Combine like terms: -5y + -6y = -11y -15 + -11y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 -15 + -11y = 36 + 0 -15 + -11y = 36 Add '15' to each side of the equation. -15 + 15 + -11y = 36 + 15 Combine like terms: -15 + 15 = 0 0 + -11y = 36 + 15 -11y = 36 + 15 Combine like terms: 36 + 15 = 51 -11y = 51 Divide each side by '-11'. y = -4.636363636 Simplifying y = -4.636363636
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