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Simplifying 0.12(y + -7) + 0.08y = 0.18y + -0.09(10) Reorder the terms: 0.12(-7 + y) + 0.08y = 0.18y + -0.09(10) (-7 * 0.12 + y * 0.12) + 0.08y = 0.18y + -0.09(10) (-0.84 + 0.12y) + 0.08y = 0.18y + -0.09(10) Combine like terms: 0.12y + 0.08y = 0.2y -0.84 + 0.2y = 0.18y + -0.09(10) Multiply -0.09 * 10 -0.84 + 0.2y = 0.18y + -0.9 Reorder the terms: -0.84 + 0.2y = -0.9 + 0.18y Solving -0.84 + 0.2y = -0.9 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.84 + 0.2y + -0.18y = -0.9 + 0.18y + -0.18y Combine like terms: 0.2y + -0.18y = 0.02y -0.84 + 0.02y = -0.9 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.84 + 0.02y = -0.9 + 0.00 -0.84 + 0.02y = -0.9 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.02y = -0.9 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.02y = -0.9 + 0.84 0.02y = -0.9 + 0.84 Combine like terms: -0.9 + 0.84 = -0.06 0.02y = -0.06 Divide each side by '0.02'. y = -3 Simplifying y = -3
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