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Simplifying 2(2y + -3.1) + 5.2 = (9y + -0.2) Reorder the terms: 2(-3.1 + 2y) + 5.2 = (9y + -0.2) (-3.1 * 2 + 2y * 2) + 5.2 = (9y + -0.2) (-6.2 + 4y) + 5.2 = (9y + -0.2) Reorder the terms: -6.2 + 5.2 + 4y = (9y + -0.2) Combine like terms: -6.2 + 5.2 = -1 -1 + 4y = (9y + -0.2) Reorder the terms: -1 + 4y = (-0.2 + 9y) Remove parenthesis around (-0.2 + 9y) -1 + 4y = -0.2 + 9y Solving -1 + 4y = -0.2 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -1 + 4y + -9y = -0.2 + 9y + -9y Combine like terms: 4y + -9y = -5y -1 + -5y = -0.2 + 9y + -9y Combine like terms: 9y + -9y = 0 -1 + -5y = -0.2 + 0 -1 + -5y = -0.2 Add '1' to each side of the equation. -1 + 1 + -5y = -0.2 + 1 Combine like terms: -1 + 1 = 0 0 + -5y = -0.2 + 1 -5y = -0.2 + 1 Combine like terms: -0.2 + 1 = 0.8 -5y = 0.8 Divide each side by '-5'. y = -0.16 Simplifying y = -0.16
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