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Simplifying 0.08(y + -3) + 0.14y = 0.10y + -0.03(40) Reorder the terms: 0.08(-3 + y) + 0.14y = 0.10y + -0.03(40) (-3 * 0.08 + y * 0.08) + 0.14y = 0.10y + -0.03(40) (-0.24 + 0.08y) + 0.14y = 0.10y + -0.03(40) Combine like terms: 0.08y + 0.14y = 0.22y -0.24 + 0.22y = 0.10y + -0.03(40) Multiply -0.03 * 40 -0.24 + 0.22y = 0.10y + -1.2 Reorder the terms: -0.24 + 0.22y = -1.2 + 0.10y Solving -0.24 + 0.22y = -1.2 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.24 + 0.22y + -0.10y = -1.2 + 0.10y + -0.10y Combine like terms: 0.22y + -0.10y = 0.12y -0.24 + 0.12y = -1.2 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.24 + 0.12y = -1.2 + 0.00 -0.24 + 0.12y = -1.2 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.12y = -1.2 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.12y = -1.2 + 0.24 0.12y = -1.2 + 0.24 Combine like terms: -1.2 + 0.24 = -0.96 0.12y = -0.96 Divide each side by '0.12'. y = -8 Simplifying y = -8
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