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Simplifying 4(2y + -2.2) + 8.3 = 5(6y + -0.1) Reorder the terms: 4(-2.2 + 2y) + 8.3 = 5(6y + -0.1) (-2.2 * 4 + 2y * 4) + 8.3 = 5(6y + -0.1) (-8.8 + 8y) + 8.3 = 5(6y + -0.1) Reorder the terms: -8.8 + 8.3 + 8y = 5(6y + -0.1) Combine like terms: -8.8 + 8.3 = -0.5 -0.5 + 8y = 5(6y + -0.1) Reorder the terms: -0.5 + 8y = 5(-0.1 + 6y) -0.5 + 8y = (-0.1 * 5 + 6y * 5) -0.5 + 8y = (-0.5 + 30y) Add '0.5' to each side of the equation. -0.5 + 0.5 + 8y = -0.5 + 0.5 + 30y Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 8y = -0.5 + 0.5 + 30y 8y = -0.5 + 0.5 + 30y Combine like terms: -0.5 + 0.5 = 0.0 8y = 0.0 + 30y 8y = 30y Solving 8y = 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 8y + -30y = 30y + -30y Combine like terms: 8y + -30y = -22y -22y = 30y + -30y Combine like terms: 30y + -30y = 0 -22y = 0 Divide each side by '-22'. y = 0 Simplifying y = 0
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