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Simplifying 0.2(2y + -1) + -2 = 0.5(3y + -5 + 3) Reorder the terms: 0.2(-1 + 2y) + -2 = 0.5(3y + -5 + 3) (-1 * 0.2 + 2y * 0.2) + -2 = 0.5(3y + -5 + 3) (-0.2 + 0.4y) + -2 = 0.5(3y + -5 + 3) Reorder the terms: -0.2 + -2 + 0.4y = 0.5(3y + -5 + 3) Combine like terms: -0.2 + -2 = -2.2 -2.2 + 0.4y = 0.5(3y + -5 + 3) Reorder the terms: -2.2 + 0.4y = 0.5(-5 + 3 + 3y) Combine like terms: -5 + 3 = -2 -2.2 + 0.4y = 0.5(-2 + 3y) -2.2 + 0.4y = (-2 * 0.5 + 3y * 0.5) -2.2 + 0.4y = (-1 + 1.5y) Solving -2.2 + 0.4y = -1 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. -2.2 + 0.4y + -1.5y = -1 + 1.5y + -1.5y Combine like terms: 0.4y + -1.5y = -1.1y -2.2 + -1.1y = -1 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -2.2 + -1.1y = -1 + 0.0 -2.2 + -1.1y = -1 Add '2.2' to each side of the equation. -2.2 + 2.2 + -1.1y = -1 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -1.1y = -1 + 2.2 -1.1y = -1 + 2.2 Combine like terms: -1 + 2.2 = 1.2 -1.1y = 1.2 Divide each side by '-1.1'. y = -1.090909091 Simplifying y = -1.090909091
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