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Simplifying 0.02(y + -9) + 0.14 = 0.12y + -0.01(10) Reorder the terms: 0.02(-9 + y) + 0.14 = 0.12y + -0.01(10) (-9 * 0.02 + y * 0.02) + 0.14 = 0.12y + -0.01(10) (-0.18 + 0.02y) + 0.14 = 0.12y + -0.01(10) Reorder the terms: -0.18 + 0.14 + 0.02y = 0.12y + -0.01(10) Combine like terms: -0.18 + 0.14 = -0.04 -0.04 + 0.02y = 0.12y + -0.01(10) Multiply -0.01 * 10 -0.04 + 0.02y = 0.12y + -0.1 Reorder the terms: -0.04 + 0.02y = -0.1 + 0.12y Solving -0.04 + 0.02y = -0.1 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.04 + 0.02y + -0.12y = -0.1 + 0.12y + -0.12y Combine like terms: 0.02y + -0.12y = -0.1y -0.04 + -0.1y = -0.1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.04 + -0.1y = -0.1 + 0.00 -0.04 + -0.1y = -0.1 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.1y = -0.1 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.1y = -0.1 + 0.04 -0.1y = -0.1 + 0.04 Combine like terms: -0.1 + 0.04 = -0.06 -0.1y = -0.06 Divide each side by '-0.1'. y = 0.6 Simplifying y = 0.6
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