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Simplifying 0.14(y + -9) + 0.10y = 0.4y + -0.01(60) Reorder the terms: 0.14(-9 + y) + 0.10y = 0.4y + -0.01(60) (-9 * 0.14 + y * 0.14) + 0.10y = 0.4y + -0.01(60) (-1.26 + 0.14y) + 0.10y = 0.4y + -0.01(60) Combine like terms: 0.14y + 0.10y = 0.24y -1.26 + 0.24y = 0.4y + -0.01(60) Multiply -0.01 * 60 -1.26 + 0.24y = 0.4y + -0.6 Reorder the terms: -1.26 + 0.24y = -0.6 + 0.4y Solving -1.26 + 0.24y = -0.6 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -1.26 + 0.24y + -0.4y = -0.6 + 0.4y + -0.4y Combine like terms: 0.24y + -0.4y = -0.16y -1.26 + -0.16y = -0.6 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -1.26 + -0.16y = -0.6 + 0.0 -1.26 + -0.16y = -0.6 Add '1.26' to each side of the equation. -1.26 + 1.26 + -0.16y = -0.6 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + -0.16y = -0.6 + 1.26 -0.16y = -0.6 + 1.26 Combine like terms: -0.6 + 1.26 = 0.66 -0.16y = 0.66 Divide each side by '-0.16'. y = -4.125 Simplifying y = -4.125
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