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Simplifying 8y + -5(2y + -4) = 6y + 15 Reorder the terms: 8y + -5(-4 + 2y) = 6y + 15 8y + (-4 * -5 + 2y * -5) = 6y + 15 8y + (20 + -10y) = 6y + 15 Reorder the terms: 20 + 8y + -10y = 6y + 15 Combine like terms: 8y + -10y = -2y 20 + -2y = 6y + 15 Reorder the terms: 20 + -2y = 15 + 6y Solving 20 + -2y = 15 + 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. 20 + -2y + -6y = 15 + 6y + -6y Combine like terms: -2y + -6y = -8y 20 + -8y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -8y = 15 + 0 20 + -8y = 15 Add '-20' to each side of the equation. 20 + -20 + -8y = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -8y = 15 + -20 -8y = 15 + -20 Combine like terms: 15 + -20 = -5 -8y = -5 Divide each side by '-8'. y = 0.625 Simplifying y = 0.625
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