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Simplifying 0.12(2y + -6) + 1.21 = 0.23(y + -3) Reorder the terms: 0.12(-6 + 2y) + 1.21 = 0.23(y + -3) (-6 * 0.12 + 2y * 0.12) + 1.21 = 0.23(y + -3) (-0.72 + 0.24y) + 1.21 = 0.23(y + -3) Reorder the terms: -0.72 + 1.21 + 0.24y = 0.23(y + -3) Combine like terms: -0.72 + 1.21 = 0.49 0.49 + 0.24y = 0.23(y + -3) Reorder the terms: 0.49 + 0.24y = 0.23(-3 + y) 0.49 + 0.24y = (-3 * 0.23 + y * 0.23) 0.49 + 0.24y = (-0.69 + 0.23y) Solving 0.49 + 0.24y = -0.69 + 0.23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.23y' to each side of the equation. 0.49 + 0.24y + -0.23y = -0.69 + 0.23y + -0.23y Combine like terms: 0.24y + -0.23y = 0.01y 0.49 + 0.01y = -0.69 + 0.23y + -0.23y Combine like terms: 0.23y + -0.23y = 0.00 0.49 + 0.01y = -0.69 + 0.00 0.49 + 0.01y = -0.69 Add '-0.49' to each side of the equation. 0.49 + -0.49 + 0.01y = -0.69 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + 0.01y = -0.69 + -0.49 0.01y = -0.69 + -0.49 Combine like terms: -0.69 + -0.49 = -1.18 0.01y = -1.18 Divide each side by '0.01'. y = -118 Simplifying y = -118
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