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Simplifying 0.12(y + -1) + 0.20y = 0.06y + -0.09(10) Reorder the terms: 0.12(-1 + y) + 0.20y = 0.06y + -0.09(10) (-1 * 0.12 + y * 0.12) + 0.20y = 0.06y + -0.09(10) (-0.12 + 0.12y) + 0.20y = 0.06y + -0.09(10) Combine like terms: 0.12y + 0.20y = 0.32y -0.12 + 0.32y = 0.06y + -0.09(10) Multiply -0.09 * 10 -0.12 + 0.32y = 0.06y + -0.9 Reorder the terms: -0.12 + 0.32y = -0.9 + 0.06y Solving -0.12 + 0.32y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.12 + 0.32y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.32y + -0.06y = 0.26y -0.12 + 0.26y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.12 + 0.26y = -0.9 + 0.00 -0.12 + 0.26y = -0.9 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.26y = -0.9 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.26y = -0.9 + 0.12 0.26y = -0.9 + 0.12 Combine like terms: -0.9 + 0.12 = -0.78 0.26y = -0.78 Divide each side by '0.26'. y = -3 Simplifying y = -3
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