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Simplifying 0.6(y + -6) + 0.04y = 0.16y + -0.09(10) Reorder the terms: 0.6(-6 + y) + 0.04y = 0.16y + -0.09(10) (-6 * 0.6 + y * 0.6) + 0.04y = 0.16y + -0.09(10) (-3.6 + 0.6y) + 0.04y = 0.16y + -0.09(10) Combine like terms: 0.6y + 0.04y = 0.64y -3.6 + 0.64y = 0.16y + -0.09(10) Multiply -0.09 * 10 -3.6 + 0.64y = 0.16y + -0.9 Reorder the terms: -3.6 + 0.64y = -0.9 + 0.16y Solving -3.6 + 0.64y = -0.9 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -3.6 + 0.64y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.64y + -0.16y = 0.48y -3.6 + 0.48y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -3.6 + 0.48y = -0.9 + 0.00 -3.6 + 0.48y = -0.9 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.48y = -0.9 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.48y = -0.9 + 3.6 0.48y = -0.9 + 3.6 Combine like terms: -0.9 + 3.6 = 2.7 0.48y = 2.7 Divide each side by '0.48'. y = 5.625 Simplifying y = 5.625
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