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Simplifying -4y + -3(5 + -6y) = 15 + 3y -4y + (5 * -3 + -6y * -3) = 15 + 3y -4y + (-15 + 18y) = 15 + 3y Reorder the terms: -15 + -4y + 18y = 15 + 3y Combine like terms: -4y + 18y = 14y -15 + 14y = 15 + 3y Solving -15 + 14y = 15 + 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. -15 + 14y + -3y = 15 + 3y + -3y Combine like terms: 14y + -3y = 11y -15 + 11y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 11y = 15 + 0 -15 + 11y = 15 Add '15' to each side of the equation. -15 + 15 + 11y = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 11y = 15 + 15 11y = 15 + 15 Combine like terms: 15 + 15 = 30 11y = 30 Divide each side by '11'. y = 2.727272727 Simplifying y = 2.727272727
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