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Simplifying 0.12(y + -6) + 0.18 = 0.10y + -0.07(30) Reorder the terms: 0.12(-6 + y) + 0.18 = 0.10y + -0.07(30) (-6 * 0.12 + y * 0.12) + 0.18 = 0.10y + -0.07(30) (-0.72 + 0.12y) + 0.18 = 0.10y + -0.07(30) Reorder the terms: -0.72 + 0.18 + 0.12y = 0.10y + -0.07(30) Combine like terms: -0.72 + 0.18 = -0.54 -0.54 + 0.12y = 0.10y + -0.07(30) Multiply -0.07 * 30 -0.54 + 0.12y = 0.10y + -2.1 Reorder the terms: -0.54 + 0.12y = -2.1 + 0.10y Solving -0.54 + 0.12y = -2.1 + 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. -0.54 + 0.12y + -0.10y = -2.1 + 0.10y + -0.10y Combine like terms: 0.12y + -0.10y = 0.02y -0.54 + 0.02y = -2.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.54 + 0.02y = -2.1 + 0.00 -0.54 + 0.02y = -2.1 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.02y = -2.1 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.02y = -2.1 + 0.54 0.02y = -2.1 + 0.54 Combine like terms: -2.1 + 0.54 = -1.56 0.02y = -1.56 Divide each side by '0.02'. y = -78 Simplifying y = -78
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