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Simplifying 0.12(y + -4) + 0.20 = 0.10y + -0.07(10) Reorder the terms: 0.12(-4 + y) + 0.20 = 0.10y + -0.07(10) (-4 * 0.12 + y * 0.12) + 0.20 = 0.10y + -0.07(10) (-0.48 + 0.12y) + 0.20 = 0.10y + -0.07(10) Reorder the terms: -0.48 + 0.20 + 0.12y = 0.10y + -0.07(10) Combine like terms: -0.48 + 0.20 = -0.28 -0.28 + 0.12y = 0.10y + -0.07(10) Multiply -0.07 * 10 -0.28 + 0.12y = 0.10y + -0.7 Reorder the terms: -0.28 + 0.12y = -0.7 + 0.10y Solving -0.28 + 0.12y = -0.7 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.28 + 0.12y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.12y + -0.10y = 0.02y -0.28 + 0.02y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.28 + 0.02y = -0.7 + 0.00 -0.28 + 0.02y = -0.7 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.02y = -0.7 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.02y = -0.7 + 0.28 0.02y = -0.7 + 0.28 Combine like terms: -0.7 + 0.28 = -0.42 0.02y = -0.42 Divide each side by '0.02'. y = -21 Simplifying y = -21
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