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Simplifying 0.12(y + -1) + 0.14y = 0.16y + -0.01(30) Reorder the terms: 0.12(-1 + y) + 0.14y = 0.16y + -0.01(30) (-1 * 0.12 + y * 0.12) + 0.14y = 0.16y + -0.01(30) (-0.12 + 0.12y) + 0.14y = 0.16y + -0.01(30) Combine like terms: 0.12y + 0.14y = 0.26y -0.12 + 0.26y = 0.16y + -0.01(30) Multiply -0.01 * 30 -0.12 + 0.26y = 0.16y + -0.3 Reorder the terms: -0.12 + 0.26y = -0.3 + 0.16y Solving -0.12 + 0.26y = -0.3 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.12 + 0.26y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -0.12 + 0.1y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.12 + 0.1y = -0.3 + 0.00 -0.12 + 0.1y = -0.3 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.1y = -0.3 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.1y = -0.3 + 0.12 0.1y = -0.3 + 0.12 Combine like terms: -0.3 + 0.12 = -0.18 0.1y = -0.18 Divide each side by '0.1'. y = -1.8 Simplifying y = -1.8
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