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Simplifying 4(2y + -3.3) + 12.2 = 5(7y + -0.2) Reorder the terms: 4(-3.3 + 2y) + 12.2 = 5(7y + -0.2) (-3.3 * 4 + 2y * 4) + 12.2 = 5(7y + -0.2) (-13.2 + 8y) + 12.2 = 5(7y + -0.2) Reorder the terms: -13.2 + 12.2 + 8y = 5(7y + -0.2) Combine like terms: -13.2 + 12.2 = -1 -1 + 8y = 5(7y + -0.2) Reorder the terms: -1 + 8y = 5(-0.2 + 7y) -1 + 8y = (-0.2 * 5 + 7y * 5) -1 + 8y = (-1 + 35y) Add '1' to each side of the equation. -1 + 1 + 8y = -1 + 1 + 35y Combine like terms: -1 + 1 = 0 0 + 8y = -1 + 1 + 35y 8y = -1 + 1 + 35y Combine like terms: -1 + 1 = 0 8y = 0 + 35y 8y = 35y Solving 8y = 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. 8y + -35y = 35y + -35y Combine like terms: 8y + -35y = -27y -27y = 35y + -35y Combine like terms: 35y + -35y = 0 -27y = 0 Divide each side by '-27'. y = 0 Simplifying y = 0
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