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Simplifying 0.12(y + -4) + 0.16y = 0.02y + -0.05(20) Reorder the terms: 0.12(-4 + y) + 0.16y = 0.02y + -0.05(20) (-4 * 0.12 + y * 0.12) + 0.16y = 0.02y + -0.05(20) (-0.48 + 0.12y) + 0.16y = 0.02y + -0.05(20) Combine like terms: 0.12y + 0.16y = 0.28y -0.48 + 0.28y = 0.02y + -0.05(20) Multiply -0.05 * 20 -0.48 + 0.28y = 0.02y + -1 Reorder the terms: -0.48 + 0.28y = -1 + 0.02y Solving -0.48 + 0.28y = -1 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.48 + 0.28y + -0.02y = -1 + 0.02y + -0.02y Combine like terms: 0.28y + -0.02y = 0.26y -0.48 + 0.26y = -1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.48 + 0.26y = -1 + 0.00 -0.48 + 0.26y = -1 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.26y = -1 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.26y = -1 + 0.48 0.26y = -1 + 0.48 Combine like terms: -1 + 0.48 = -0.52 0.26y = -0.52 Divide each side by '0.26'. y = -2 Simplifying y = -2
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