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Simplifying (2 + 1.5y + -2) * 2 + (1.5y + 3) * 2 = 16 Reorder the terms: (2 + -2 + 1.5y) * 2 + (1.5y + 3) * 2 = 16 Combine like terms: 2 + -2 = 0 (0 + 1.5y) * 2 + (1.5y + 3) * 2 = 16 (1.5y) * 2 + (1.5y + 3) * 2 = 16 Remove parenthesis around (1.5y) 1.5y * 2 + (1.5y + 3) * 2 = 16 Reorder the terms for easier multiplication: 1.5 * 2y + (1.5y + 3) * 2 = 16 Multiply 1.5 * 2 3y + (1.5y + 3) * 2 = 16 Reorder the terms: 3y + (3 + 1.5y) * 2 = 16 Reorder the terms for easier multiplication: 3y + 2(3 + 1.5y) = 16 3y + (3 * 2 + 1.5y * 2) = 16 3y + (6 + 3y) = 16 Reorder the terms: 6 + 3y + 3y = 16 Combine like terms: 3y + 3y = 6y 6 + 6y = 16 Solving 6 + 6y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6y = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = 16 + -6 6y = 16 + -6 Combine like terms: 16 + -6 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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