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Simplifying 16.15 + -0.9y + 13.37 = -3(2.9y + 9.92) Reorder the terms: 16.15 + 13.37 + -0.9y = -3(2.9y + 9.92) Combine like terms: 16.15 + 13.37 = 29.52 29.52 + -0.9y = -3(2.9y + 9.92) Reorder the terms: 29.52 + -0.9y = -3(9.92 + 2.9y) 29.52 + -0.9y = (9.92 * -3 + 2.9y * -3) 29.52 + -0.9y = (-29.76 + -8.7y) Solving 29.52 + -0.9y = -29.76 + -8.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.7y' to each side of the equation. 29.52 + -0.9y + 8.7y = -29.76 + -8.7y + 8.7y Combine like terms: -0.9y + 8.7y = 7.8y 29.52 + 7.8y = -29.76 + -8.7y + 8.7y Combine like terms: -8.7y + 8.7y = 0.0 29.52 + 7.8y = -29.76 + 0.0 29.52 + 7.8y = -29.76 Add '-29.52' to each side of the equation. 29.52 + -29.52 + 7.8y = -29.76 + -29.52 Combine like terms: 29.52 + -29.52 = 0.00 0.00 + 7.8y = -29.76 + -29.52 7.8y = -29.76 + -29.52 Combine like terms: -29.76 + -29.52 = -59.28 7.8y = -59.28 Divide each side by '7.8'. y = -7.6 Simplifying y = -7.6
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