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Simplifying 0.10(y + -9) + 0.12y = 0.18y + -0.07(10) Reorder the terms: 0.10(-9 + y) + 0.12y = 0.18y + -0.07(10) (-9 * 0.10 + y * 0.10) + 0.12y = 0.18y + -0.07(10) (-0.9 + 0.10y) + 0.12y = 0.18y + -0.07(10) Combine like terms: 0.10y + 0.12y = 0.22y -0.9 + 0.22y = 0.18y + -0.07(10) Multiply -0.07 * 10 -0.9 + 0.22y = 0.18y + -0.7 Reorder the terms: -0.9 + 0.22y = -0.7 + 0.18y Solving -0.9 + 0.22y = -0.7 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.9 + 0.22y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -0.9 + 0.04y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.9 + 0.04y = -0.7 + 0.00 -0.9 + 0.04y = -0.7 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.04y = -0.7 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.04y = -0.7 + 0.9 0.04y = -0.7 + 0.9 Combine like terms: -0.7 + 0.9 = 0.2 0.04y = 0.2 Divide each side by '0.04'. y = 5 Simplifying y = 5
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