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Simplifying 0.02(y + -7) + 0.10y = 0.04y + -0.09(10) Reorder the terms: 0.02(-7 + y) + 0.10y = 0.04y + -0.09(10) (-7 * 0.02 + y * 0.02) + 0.10y = 0.04y + -0.09(10) (-0.14 + 0.02y) + 0.10y = 0.04y + -0.09(10) Combine like terms: 0.02y + 0.10y = 0.12y -0.14 + 0.12y = 0.04y + -0.09(10) Multiply -0.09 * 10 -0.14 + 0.12y = 0.04y + -0.9 Reorder the terms: -0.14 + 0.12y = -0.9 + 0.04y Solving -0.14 + 0.12y = -0.9 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.14 + 0.12y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.12y + -0.04y = 0.08y -0.14 + 0.08y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.14 + 0.08y = -0.9 + 0.00 -0.14 + 0.08y = -0.9 Add '0.14' to each side of the equation. -0.14 + 0.14 + 0.08y = -0.9 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 0.08y = -0.9 + 0.14 0.08y = -0.9 + 0.14 Combine like terms: -0.9 + 0.14 = -0.76 0.08y = -0.76 Divide each side by '0.08'. y = -9.5 Simplifying y = -9.5
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