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Simplifying y + -0.6y + 2.8 = -3(y + -6.6) Reorder the terms: 2.8 + y + -0.6y = -3(y + -6.6) Combine like terms: y + -0.6y = 0.4y 2.8 + 0.4y = -3(y + -6.6) Reorder the terms: 2.8 + 0.4y = -3(-6.6 + y) 2.8 + 0.4y = (-6.6 * -3 + y * -3) 2.8 + 0.4y = (19.8 + -3y) Solving 2.8 + 0.4y = 19.8 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 2.8 + 0.4y + 3y = 19.8 + -3y + 3y Combine like terms: 0.4y + 3y = 3.4y 2.8 + 3.4y = 19.8 + -3y + 3y Combine like terms: -3y + 3y = 0 2.8 + 3.4y = 19.8 + 0 2.8 + 3.4y = 19.8 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 3.4y = 19.8 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 3.4y = 19.8 + -2.8 3.4y = 19.8 + -2.8 Combine like terms: 19.8 + -2.8 = 17 3.4y = 17 Divide each side by '3.4'. y = 5 Simplifying y = 5
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