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Simplifying 0.06(y + -4) + 0.12y = 0.20y + -0.01(10) Reorder the terms: 0.06(-4 + y) + 0.12y = 0.20y + -0.01(10) (-4 * 0.06 + y * 0.06) + 0.12y = 0.20y + -0.01(10) (-0.24 + 0.06y) + 0.12y = 0.20y + -0.01(10) Combine like terms: 0.06y + 0.12y = 0.18y -0.24 + 0.18y = 0.20y + -0.01(10) Multiply -0.01 * 10 -0.24 + 0.18y = 0.20y + -0.1 Reorder the terms: -0.24 + 0.18y = -0.1 + 0.20y Solving -0.24 + 0.18y = -0.1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.24 + 0.18y + -0.20y = -0.1 + 0.20y + -0.20y Combine like terms: 0.18y + -0.20y = -0.02y -0.24 + -0.02y = -0.1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.24 + -0.02y = -0.1 + 0.00 -0.24 + -0.02y = -0.1 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.02y = -0.1 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.02y = -0.1 + 0.24 -0.02y = -0.1 + 0.24 Combine like terms: -0.1 + 0.24 = 0.14 -0.02y = 0.14 Divide each side by '-0.02'. y = -7 Simplifying y = -7
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