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Simplifying 0.12(y + -1) + 0.18y = 0.14y + -0.03(40) Reorder the terms: 0.12(-1 + y) + 0.18y = 0.14y + -0.03(40) (-1 * 0.12 + y * 0.12) + 0.18y = 0.14y + -0.03(40) (-0.12 + 0.12y) + 0.18y = 0.14y + -0.03(40) Combine like terms: 0.12y + 0.18y = 0.3y -0.12 + 0.3y = 0.14y + -0.03(40) Multiply -0.03 * 40 -0.12 + 0.3y = 0.14y + -1.2 Reorder the terms: -0.12 + 0.3y = -1.2 + 0.14y Solving -0.12 + 0.3y = -1.2 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.12 + 0.3y + -0.14y = -1.2 + 0.14y + -0.14y Combine like terms: 0.3y + -0.14y = 0.16y -0.12 + 0.16y = -1.2 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.12 + 0.16y = -1.2 + 0.00 -0.12 + 0.16y = -1.2 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.16y = -1.2 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.16y = -1.2 + 0.12 0.16y = -1.2 + 0.12 Combine like terms: -1.2 + 0.12 = -1.08 0.16y = -1.08 Divide each side by '0.16'. y = -6.75 Simplifying y = -6.75
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