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Simplifying 2(3y + -1.8) + 0.4 = 8(3y + -0.4) Reorder the terms: 2(-1.8 + 3y) + 0.4 = 8(3y + -0.4) (-1.8 * 2 + 3y * 2) + 0.4 = 8(3y + -0.4) (-3.6 + 6y) + 0.4 = 8(3y + -0.4) Reorder the terms: -3.6 + 0.4 + 6y = 8(3y + -0.4) Combine like terms: -3.6 + 0.4 = -3.2 -3.2 + 6y = 8(3y + -0.4) Reorder the terms: -3.2 + 6y = 8(-0.4 + 3y) -3.2 + 6y = (-0.4 * 8 + 3y * 8) -3.2 + 6y = (-3.2 + 24y) Add '3.2' to each side of the equation. -3.2 + 3.2 + 6y = -3.2 + 3.2 + 24y Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 6y = -3.2 + 3.2 + 24y 6y = -3.2 + 3.2 + 24y Combine like terms: -3.2 + 3.2 = 0.0 6y = 0.0 + 24y 6y = 24y Solving 6y = 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 6y + -24y = 24y + -24y Combine like terms: 6y + -24y = -18y -18y = 24y + -24y Combine like terms: 24y + -24y = 0 -18y = 0 Divide each side by '-18'. y = 0 Simplifying y = 0
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