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Simplifying 0.12(y + -3) + 0.18y = 0.20y + -0.07(10) Reorder the terms: 0.12(-3 + y) + 0.18y = 0.20y + -0.07(10) (-3 * 0.12 + y * 0.12) + 0.18y = 0.20y + -0.07(10) (-0.36 + 0.12y) + 0.18y = 0.20y + -0.07(10) Combine like terms: 0.12y + 0.18y = 0.3y -0.36 + 0.3y = 0.20y + -0.07(10) Multiply -0.07 * 10 -0.36 + 0.3y = 0.20y + -0.7 Reorder the terms: -0.36 + 0.3y = -0.7 + 0.20y Solving -0.36 + 0.3y = -0.7 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.36 + 0.3y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.3y + -0.20y = 0.1y -0.36 + 0.1y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.36 + 0.1y = -0.7 + 0.00 -0.36 + 0.1y = -0.7 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.1y = -0.7 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.1y = -0.7 + 0.36 0.1y = -0.7 + 0.36 Combine like terms: -0.7 + 0.36 = -0.34 0.1y = -0.34 Divide each side by '0.1'. y = -3.4 Simplifying y = -3.4
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