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Simplifying 0.16(y + -9) + 0.14y = 0.20y + -0.6 Reorder the terms: 0.16(-9 + y) + 0.14y = 0.20y + -0.6 (-9 * 0.16 + y * 0.16) + 0.14y = 0.20y + -0.6 (-1.44 + 0.16y) + 0.14y = 0.20y + -0.6 Combine like terms: 0.16y + 0.14y = 0.3y -1.44 + 0.3y = 0.20y + -0.6 Reorder the terms: -1.44 + 0.3y = -0.6 + 0.20y Solving -1.44 + 0.3y = -0.6 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.44 + 0.3y + -0.20y = -0.6 + 0.20y + -0.20y Combine like terms: 0.3y + -0.20y = 0.1y -1.44 + 0.1y = -0.6 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.44 + 0.1y = -0.6 + 0.00 -1.44 + 0.1y = -0.6 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.1y = -0.6 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.1y = -0.6 + 1.44 0.1y = -0.6 + 1.44 Combine like terms: -0.6 + 1.44 = 0.84 0.1y = 0.84 Divide each side by '0.1'. y = 8.4 Simplifying y = 8.4
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