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Simplifying 2(2y + -3.1) + 5.2 = 5(9y + -0.2) Reorder the terms: 2(-3.1 + 2y) + 5.2 = 5(9y + -0.2) (-3.1 * 2 + 2y * 2) + 5.2 = 5(9y + -0.2) (-6.2 + 4y) + 5.2 = 5(9y + -0.2) Reorder the terms: -6.2 + 5.2 + 4y = 5(9y + -0.2) Combine like terms: -6.2 + 5.2 = -1 -1 + 4y = 5(9y + -0.2) Reorder the terms: -1 + 4y = 5(-0.2 + 9y) -1 + 4y = (-0.2 * 5 + 9y * 5) -1 + 4y = (-1 + 45y) Add '1' to each side of the equation. -1 + 1 + 4y = -1 + 1 + 45y Combine like terms: -1 + 1 = 0 0 + 4y = -1 + 1 + 45y 4y = -1 + 1 + 45y Combine like terms: -1 + 1 = 0 4y = 0 + 45y 4y = 45y Solving 4y = 45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45y' to each side of the equation. 4y + -45y = 45y + -45y Combine like terms: 4y + -45y = -41y -41y = 45y + -45y Combine like terms: 45y + -45y = 0 -41y = 0 Divide each side by '-41'. y = 0 Simplifying y = 0
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