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Simplifying 0.1(y + -2) + 0.03(y + -4) = 0.02(10) Reorder the terms: 0.1(-2 + y) + 0.03(y + -4) = 0.02(10) (-2 * 0.1 + y * 0.1) + 0.03(y + -4) = 0.02(10) (-0.2 + 0.1y) + 0.03(y + -4) = 0.02(10) Reorder the terms: -0.2 + 0.1y + 0.03(-4 + y) = 0.02(10) -0.2 + 0.1y + (-4 * 0.03 + y * 0.03) = 0.02(10) -0.2 + 0.1y + (-0.12 + 0.03y) = 0.02(10) Reorder the terms: -0.2 + -0.12 + 0.1y + 0.03y = 0.02(10) Combine like terms: -0.2 + -0.12 = -0.32 -0.32 + 0.1y + 0.03y = 0.02(10) Combine like terms: 0.1y + 0.03y = 0.13y -0.32 + 0.13y = 0.02(10) Multiply 0.02 * 10 -0.32 + 0.13y = 0.2 Solving -0.32 + 0.13y = 0.2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.13y = 0.2 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.13y = 0.2 + 0.32 0.13y = 0.2 + 0.32 Combine like terms: 0.2 + 0.32 = 0.52 0.13y = 0.52 Divide each side by '0.13'. y = 4 Simplifying y = 4
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