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Simplifying 0.16(y + -6) + 0.18y = 0.04y + -0.03(40) Reorder the terms: 0.16(-6 + y) + 0.18y = 0.04y + -0.03(40) (-6 * 0.16 + y * 0.16) + 0.18y = 0.04y + -0.03(40) (-0.96 + 0.16y) + 0.18y = 0.04y + -0.03(40) Combine like terms: 0.16y + 0.18y = 0.34y -0.96 + 0.34y = 0.04y + -0.03(40) Multiply -0.03 * 40 -0.96 + 0.34y = 0.04y + -1.2 Reorder the terms: -0.96 + 0.34y = -1.2 + 0.04y Solving -0.96 + 0.34y = -1.2 + 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. -0.96 + 0.34y + -0.04y = -1.2 + 0.04y + -0.04y Combine like terms: 0.34y + -0.04y = 0.3y -0.96 + 0.3y = -1.2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.96 + 0.3y = -1.2 + 0.00 -0.96 + 0.3y = -1.2 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.3y = -1.2 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.3y = -1.2 + 0.96 0.3y = -1.2 + 0.96 Combine like terms: -1.2 + 0.96 = -0.24 0.3y = -0.24 Divide each side by '0.3'. y = -0.8 Simplifying y = -0.8
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