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Simplifying 0.18(y + -8) + 0.16y = 0.14y + -0.07(10) Reorder the terms: 0.18(-8 + y) + 0.16y = 0.14y + -0.07(10) (-8 * 0.18 + y * 0.18) + 0.16y = 0.14y + -0.07(10) (-1.44 + 0.18y) + 0.16y = 0.14y + -0.07(10) Combine like terms: 0.18y + 0.16y = 0.34y -1.44 + 0.34y = 0.14y + -0.07(10) Multiply -0.07 * 10 -1.44 + 0.34y = 0.14y + -0.7 Reorder the terms: -1.44 + 0.34y = -0.7 + 0.14y Solving -1.44 + 0.34y = -0.7 + 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. -1.44 + 0.34y + -0.14y = -0.7 + 0.14y + -0.14y Combine like terms: 0.34y + -0.14y = 0.2y -1.44 + 0.2y = -0.7 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.44 + 0.2y = -0.7 + 0.00 -1.44 + 0.2y = -0.7 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.2y = -0.7 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.2y = -0.7 + 1.44 0.2y = -0.7 + 1.44 Combine like terms: -0.7 + 1.44 = 0.74 0.2y = 0.74 Divide each side by '0.2'. y = 3.7 Simplifying y = 3.7
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