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Simplifying 0.18(y + -13) + 0.08y = 0.06y + -0.03(30) Reorder the terms: 0.18(-13 + y) + 0.08y = 0.06y + -0.03(30) (-13 * 0.18 + y * 0.18) + 0.08y = 0.06y + -0.03(30) (-2.34 + 0.18y) + 0.08y = 0.06y + -0.03(30) Combine like terms: 0.18y + 0.08y = 0.26y -2.34 + 0.26y = 0.06y + -0.03(30) Multiply -0.03 * 30 -2.34 + 0.26y = 0.06y + -0.9 Reorder the terms: -2.34 + 0.26y = -0.9 + 0.06y Solving -2.34 + 0.26y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -2.34 + 0.26y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -2.34 + 0.2y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -2.34 + 0.2y = -0.9 + 0.00 -2.34 + 0.2y = -0.9 Add '2.34' to each side of the equation. -2.34 + 2.34 + 0.2y = -0.9 + 2.34 Combine like terms: -2.34 + 2.34 = 0.00 0.00 + 0.2y = -0.9 + 2.34 0.2y = -0.9 + 2.34 Combine like terms: -0.9 + 2.34 = 1.44 0.2y = 1.44 Divide each side by '0.2'. y = 7.2 Simplifying y = 7.2
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