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Simplifying (y + -2) + 5(2 + -1y) = -3(2y + 2) Reorder the terms: (-2 + y) + 5(2 + -1y) = -3(2y + 2) Remove parenthesis around (-2 + y) -2 + y + 5(2 + -1y) = -3(2y + 2) -2 + y + (2 * 5 + -1y * 5) = -3(2y + 2) -2 + y + (10 + -5y) = -3(2y + 2) Reorder the terms: -2 + 10 + y + -5y = -3(2y + 2) Combine like terms: -2 + 10 = 8 8 + y + -5y = -3(2y + 2) Combine like terms: y + -5y = -4y 8 + -4y = -3(2y + 2) Reorder the terms: 8 + -4y = -3(2 + 2y) 8 + -4y = (2 * -3 + 2y * -3) 8 + -4y = (-6 + -6y) Solving 8 + -4y = -6 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 8 + -4y + 6y = -6 + -6y + 6y Combine like terms: -4y + 6y = 2y 8 + 2y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 2y = -6 + 0 8 + 2y = -6 Add '-8' to each side of the equation. 8 + -8 + 2y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -6 + -8 2y = -6 + -8 Combine like terms: -6 + -8 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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