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Simplifying 8y + -5 = 3(2y + 3) Reorder the terms: -5 + 8y = 3(2y + 3) Reorder the terms: -5 + 8y = 3(3 + 2y) -5 + 8y = (3 * 3 + 2y * 3) -5 + 8y = (9 + 6y) Solving -5 + 8y = 9 + 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. -5 + 8y + -6y = 9 + 6y + -6y Combine like terms: 8y + -6y = 2y -5 + 2y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + 2y = 9 + 0 -5 + 2y = 9 Add '5' to each side of the equation. -5 + 5 + 2y = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 9 + 5 2y = 9 + 5 Combine like terms: 9 + 5 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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