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Simplifying -2(y + 3) = 5y + 8 Reorder the terms: -2(3 + y) = 5y + 8 (3 * -2 + y * -2) = 5y + 8 (-6 + -2y) = 5y + 8 Reorder the terms: -6 + -2y = 8 + 5y Solving -6 + -2y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + -2y + -5y = 8 + 5y + -5y Combine like terms: -2y + -5y = -7y -6 + -7y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + -7y = 8 + 0 -6 + -7y = 8 Add '6' to each side of the equation. -6 + 6 + -7y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = 8 + 6 -7y = 8 + 6 Combine like terms: 8 + 6 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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