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Simplifying 2(0.4y + 10) = 4(0.78y + -8) Reorder the terms: 2(10 + 0.4y) = 4(0.78y + -8) (10 * 2 + 0.4y * 2) = 4(0.78y + -8) (20 + 0.8y) = 4(0.78y + -8) Reorder the terms: 20 + 0.8y = 4(-8 + 0.78y) 20 + 0.8y = (-8 * 4 + 0.78y * 4) 20 + 0.8y = (-32 + 3.12y) Solving 20 + 0.8y = -32 + 3.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.12y' to each side of the equation. 20 + 0.8y + -3.12y = -32 + 3.12y + -3.12y Combine like terms: 0.8y + -3.12y = -2.32y 20 + -2.32y = -32 + 3.12y + -3.12y Combine like terms: 3.12y + -3.12y = 0.00 20 + -2.32y = -32 + 0.00 20 + -2.32y = -32 Add '-20' to each side of the equation. 20 + -20 + -2.32y = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -2.32y = -32 + -20 -2.32y = -32 + -20 Combine like terms: -32 + -20 = -52 -2.32y = -52 Divide each side by '-2.32'. y = 22.4137931 Simplifying y = 22.4137931
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