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Simplifying 0.3(y + 4) = 0.4(y + -2) Reorder the terms: 0.3(4 + y) = 0.4(y + -2) (4 * 0.3 + y * 0.3) = 0.4(y + -2) (1.2 + 0.3y) = 0.4(y + -2) Reorder the terms: 1.2 + 0.3y = 0.4(-2 + y) 1.2 + 0.3y = (-2 * 0.4 + y * 0.4) 1.2 + 0.3y = (-0.8 + 0.4y) Solving 1.2 + 0.3y = -0.8 + 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. 1.2 + 0.3y + -0.4y = -0.8 + 0.4y + -0.4y Combine like terms: 0.3y + -0.4y = -0.1y 1.2 + -0.1y = -0.8 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 1.2 + -0.1y = -0.8 + 0.0 1.2 + -0.1y = -0.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.1y = -0.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.1y = -0.8 + -1.2 -0.1y = -0.8 + -1.2 Combine like terms: -0.8 + -1.2 = -2 -0.1y = -2 Divide each side by '-0.1'. y = 20 Simplifying y = 20
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