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Simplifying 0.25(y + -4) + 0.06 = 0.21y + -0.05(40) Reorder the terms: 0.25(-4 + y) + 0.06 = 0.21y + -0.05(40) (-4 * 0.25 + y * 0.25) + 0.06 = 0.21y + -0.05(40) (-1 + 0.25y) + 0.06 = 0.21y + -0.05(40) Reorder the terms: -1 + 0.06 + 0.25y = 0.21y + -0.05(40) Combine like terms: -1 + 0.06 = -0.94 -0.94 + 0.25y = 0.21y + -0.05(40) Multiply -0.05 * 40 -0.94 + 0.25y = 0.21y + -2 Reorder the terms: -0.94 + 0.25y = -2 + 0.21y Solving -0.94 + 0.25y = -2 + 0.21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.21y' to each side of the equation. -0.94 + 0.25y + -0.21y = -2 + 0.21y + -0.21y Combine like terms: 0.25y + -0.21y = 0.04y -0.94 + 0.04y = -2 + 0.21y + -0.21y Combine like terms: 0.21y + -0.21y = 0.00 -0.94 + 0.04y = -2 + 0.00 -0.94 + 0.04y = -2 Add '0.94' to each side of the equation. -0.94 + 0.94 + 0.04y = -2 + 0.94 Combine like terms: -0.94 + 0.94 = 0.00 0.00 + 0.04y = -2 + 0.94 0.04y = -2 + 0.94 Combine like terms: -2 + 0.94 = -1.06 0.04y = -1.06 Divide each side by '0.04'. y = -26.5 Simplifying y = -26.5
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