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Simplifying 2(4y + 1) = -3(5 + y) Reorder the terms: 2(1 + 4y) = -3(5 + y) (1 * 2 + 4y * 2) = -3(5 + y) (2 + 8y) = -3(5 + y) 2 + 8y = (5 * -3 + y * -3) 2 + 8y = (-15 + -3y) Solving 2 + 8y = -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. 2 + 8y + 3y = -15 + -3y + 3y Combine like terms: 8y + 3y = 11y 2 + 11y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 2 + 11y = -15 + 0 2 + 11y = -15 Add '-2' to each side of the equation. 2 + -2 + 11y = -15 + -2 Combine like terms: 2 + -2 = 0 0 + 11y = -15 + -2 11y = -15 + -2 Combine like terms: -15 + -2 = -17 11y = -17 Divide each side by '11'. y = -1.545454545 Simplifying y = -1.545454545
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