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Simplifying 0.02(y + -7) + -0.12y = 0.18y + -0.05(10) Reorder the terms: 0.02(-7 + y) + -0.12y = 0.18y + -0.05(10) (-7 * 0.02 + y * 0.02) + -0.12y = 0.18y + -0.05(10) (-0.14 + 0.02y) + -0.12y = 0.18y + -0.05(10) Combine like terms: 0.02y + -0.12y = -0.1y -0.14 + -0.1y = 0.18y + -0.05(10) Multiply -0.05 * 10 -0.14 + -0.1y = 0.18y + -0.5 Reorder the terms: -0.14 + -0.1y = -0.5 + 0.18y Solving -0.14 + -0.1y = -0.5 + 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. -0.14 + -0.1y + -0.18y = -0.5 + 0.18y + -0.18y Combine like terms: -0.1y + -0.18y = -0.28y -0.14 + -0.28y = -0.5 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.14 + -0.28y = -0.5 + 0.00 -0.14 + -0.28y = -0.5 Add '0.14' to each side of the equation. -0.14 + 0.14 + -0.28y = -0.5 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + -0.28y = -0.5 + 0.14 -0.28y = -0.5 + 0.14 Combine like terms: -0.5 + 0.14 = -0.36 -0.28y = -0.36 Divide each side by '-0.28'. y = 1.285714286 Simplifying y = 1.285714286
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