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Simplifying 0.3(y + -2) = 0.4(1 + y) Reorder the terms: 0.3(-2 + y) = 0.4(1 + y) (-2 * 0.3 + y * 0.3) = 0.4(1 + y) (-0.6 + 0.3y) = 0.4(1 + y) -0.6 + 0.3y = (1 * 0.4 + y * 0.4) -0.6 + 0.3y = (0.4 + 0.4y) Solving -0.6 + 0.3y = 0.4 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -0.6 + 0.3y + -0.4y = 0.4 + 0.4y + -0.4y Combine like terms: 0.3y + -0.4y = -0.1y -0.6 + -0.1y = 0.4 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -0.6 + -0.1y = 0.4 + 0.0 -0.6 + -0.1y = 0.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.1y = 0.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.1y = 0.4 + 0.6 -0.1y = 0.4 + 0.6 Combine like terms: 0.4 + 0.6 = 1 -0.1y = 1 Divide each side by '-0.1'. y = -10 Simplifying y = -10
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