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Simplifying 2(2y + -4.1) + 5 = 8(3y + -0.4) Reorder the terms: 2(-4.1 + 2y) + 5 = 8(3y + -0.4) (-4.1 * 2 + 2y * 2) + 5 = 8(3y + -0.4) (-8.2 + 4y) + 5 = 8(3y + -0.4) Reorder the terms: -8.2 + 5 + 4y = 8(3y + -0.4) Combine like terms: -8.2 + 5 = -3.2 -3.2 + 4y = 8(3y + -0.4) Reorder the terms: -3.2 + 4y = 8(-0.4 + 3y) -3.2 + 4y = (-0.4 * 8 + 3y * 8) -3.2 + 4y = (-3.2 + 24y) Add '3.2' to each side of the equation. -3.2 + 3.2 + 4y = -3.2 + 3.2 + 24y Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 4y = -3.2 + 3.2 + 24y 4y = -3.2 + 3.2 + 24y Combine like terms: -3.2 + 3.2 = 0.0 4y = 0.0 + 24y 4y = 24y Solving 4y = 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. 4y + -24y = 24y + -24y Combine like terms: 4y + -24y = -20y -20y = 24y + -24y Combine like terms: 24y + -24y = 0 -20y = 0 Divide each side by '-20'. y = 0.0 Simplifying y = 0.0
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