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Simplifying 0.12(y + -3) + 0.08y = 0.14y + -0.09(10) Reorder the terms: 0.12(-3 + y) + 0.08y = 0.14y + -0.09(10) (-3 * 0.12 + y * 0.12) + 0.08y = 0.14y + -0.09(10) (-0.36 + 0.12y) + 0.08y = 0.14y + -0.09(10) Combine like terms: 0.12y + 0.08y = 0.2y -0.36 + 0.2y = 0.14y + -0.09(10) Multiply -0.09 * 10 -0.36 + 0.2y = 0.14y + -0.9 Reorder the terms: -0.36 + 0.2y = -0.9 + 0.14y Solving -0.36 + 0.2y = -0.9 + 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. -0.36 + 0.2y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.2y + -0.14y = 0.06y -0.36 + 0.06y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.36 + 0.06y = -0.9 + 0.00 -0.36 + 0.06y = -0.9 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.06y = -0.9 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.06y = -0.9 + 0.36 0.06y = -0.9 + 0.36 Combine like terms: -0.9 + 0.36 = -0.54 0.06y = -0.54 Divide each side by '0.06'. y = -9 Simplifying y = -9
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