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Simplifying 0.02(y + -1) + 0.10y = 0.16y + -0.01(30) Reorder the terms: 0.02(-1 + y) + 0.10y = 0.16y + -0.01(30) (-1 * 0.02 + y * 0.02) + 0.10y = 0.16y + -0.01(30) (-0.02 + 0.02y) + 0.10y = 0.16y + -0.01(30) Combine like terms: 0.02y + 0.10y = 0.12y -0.02 + 0.12y = 0.16y + -0.01(30) Multiply -0.01 * 30 -0.02 + 0.12y = 0.16y + -0.3 Reorder the terms: -0.02 + 0.12y = -0.3 + 0.16y Solving -0.02 + 0.12y = -0.3 + 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. -0.02 + 0.12y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.12y + -0.16y = -0.04y -0.02 + -0.04y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.02 + -0.04y = -0.3 + 0.00 -0.02 + -0.04y = -0.3 Add '0.02' to each side of the equation. -0.02 + 0.02 + -0.04y = -0.3 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.04y = -0.3 + 0.02 -0.04y = -0.3 + 0.02 Combine like terms: -0.3 + 0.02 = -0.28 -0.04y = -0.28 Divide each side by '-0.04'. y = 7 Simplifying y = 7
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