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Simplifying 8(3 + y) = 5(2y + -3) (3 * 8 + y * 8) = 5(2y + -3) (24 + 8y) = 5(2y + -3) Reorder the terms: 24 + 8y = 5(-3 + 2y) 24 + 8y = (-3 * 5 + 2y * 5) 24 + 8y = (-15 + 10y) Solving 24 + 8y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 24 + 8y + -10y = -15 + 10y + -10y Combine like terms: 8y + -10y = -2y 24 + -2y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 24 + -2y = -15 + 0 24 + -2y = -15 Add '-24' to each side of the equation. 24 + -24 + -2y = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = -15 + -24 -2y = -15 + -24 Combine like terms: -15 + -24 = -39 -2y = -39 Divide each side by '-2'. y = 19.5 Simplifying y = 19.5
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