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Simplifying 2(4y + -4.3) + 7.8 = 8(6y + -0.1) Reorder the terms: 2(-4.3 + 4y) + 7.8 = 8(6y + -0.1) (-4.3 * 2 + 4y * 2) + 7.8 = 8(6y + -0.1) (-8.6 + 8y) + 7.8 = 8(6y + -0.1) Reorder the terms: -8.6 + 7.8 + 8y = 8(6y + -0.1) Combine like terms: -8.6 + 7.8 = -0.8 -0.8 + 8y = 8(6y + -0.1) Reorder the terms: -0.8 + 8y = 8(-0.1 + 6y) -0.8 + 8y = (-0.1 * 8 + 6y * 8) -0.8 + 8y = (-0.8 + 48y) Add '0.8' to each side of the equation. -0.8 + 0.8 + 8y = -0.8 + 0.8 + 48y Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 8y = -0.8 + 0.8 + 48y 8y = -0.8 + 0.8 + 48y Combine like terms: -0.8 + 0.8 = 0.0 8y = 0.0 + 48y 8y = 48y Solving 8y = 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. 8y + -48y = 48y + -48y Combine like terms: 8y + -48y = -40y -40y = 48y + -48y Combine like terms: 48y + -48y = 0 -40y = 0 Divide each side by '-40'. y = 0.0 Simplifying y = 0.0
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