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Simplifying 0.13(y + -3) + 0.21y = 0.04y + -0.30 Reorder the terms: 0.13(-3 + y) + 0.21y = 0.04y + -0.30 (-3 * 0.13 + y * 0.13) + 0.21y = 0.04y + -0.30 (-0.39 + 0.13y) + 0.21y = 0.04y + -0.30 Combine like terms: 0.13y + 0.21y = 0.34y -0.39 + 0.34y = 0.04y + -0.30 Reorder the terms: -0.39 + 0.34y = -0.30 + 0.04y Solving -0.39 + 0.34y = -0.30 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.39 + 0.34y + -0.04y = -0.30 + 0.04y + -0.04y Combine like terms: 0.34y + -0.04y = 0.3y -0.39 + 0.3y = -0.30 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.39 + 0.3y = -0.30 + 0.00 -0.39 + 0.3y = -0.30 Add '0.39' to each side of the equation. -0.39 + 0.39 + 0.3y = -0.30 + 0.39 Combine like terms: -0.39 + 0.39 = 0.00 0.00 + 0.3y = -0.30 + 0.39 0.3y = -0.30 + 0.39 Combine like terms: -0.30 + 0.39 = 0.09 0.3y = 0.09 Divide each side by '0.3'. y = 0.3 Simplifying y = 0.3
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