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Simplifying 2(3y + -1.9) + 0.2 = 9(3y + -0.4) Reorder the terms: 2(-1.9 + 3y) + 0.2 = 9(3y + -0.4) (-1.9 * 2 + 3y * 2) + 0.2 = 9(3y + -0.4) (-3.8 + 6y) + 0.2 = 9(3y + -0.4) Reorder the terms: -3.8 + 0.2 + 6y = 9(3y + -0.4) Combine like terms: -3.8 + 0.2 = -3.6 -3.6 + 6y = 9(3y + -0.4) Reorder the terms: -3.6 + 6y = 9(-0.4 + 3y) -3.6 + 6y = (-0.4 * 9 + 3y * 9) -3.6 + 6y = (-3.6 + 27y) Add '3.6' to each side of the equation. -3.6 + 3.6 + 6y = -3.6 + 3.6 + 27y Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 6y = -3.6 + 3.6 + 27y 6y = -3.6 + 3.6 + 27y Combine like terms: -3.6 + 3.6 = 0.0 6y = 0.0 + 27y 6y = 27y Solving 6y = 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 6y + -27y = 27y + -27y Combine like terms: 6y + -27y = -21y -21y = 27y + -27y Combine like terms: 27y + -27y = 0 -21y = 0 Divide each side by '-21'. y = 0 Simplifying y = 0
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