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Simplifying 0.16(y + -3) + 0.06y = 0.02y + -0.09(10) Reorder the terms: 0.16(-3 + y) + 0.06y = 0.02y + -0.09(10) (-3 * 0.16 + y * 0.16) + 0.06y = 0.02y + -0.09(10) (-0.48 + 0.16y) + 0.06y = 0.02y + -0.09(10) Combine like terms: 0.16y + 0.06y = 0.22y -0.48 + 0.22y = 0.02y + -0.09(10) Multiply -0.09 * 10 -0.48 + 0.22y = 0.02y + -0.9 Reorder the terms: -0.48 + 0.22y = -0.9 + 0.02y Solving -0.48 + 0.22y = -0.9 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.48 + 0.22y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.48 + 0.2y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.48 + 0.2y = -0.9 + 0.00 -0.48 + 0.2y = -0.9 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.2y = -0.9 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.2y = -0.9 + 0.48 0.2y = -0.9 + 0.48 Combine like terms: -0.9 + 0.48 = -0.42 0.2y = -0.42 Divide each side by '0.2'. y = -2.1 Simplifying y = -2.1
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