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Simplifying 5(y + -1) = 3(y + -2) Reorder the terms: 5(-1 + y) = 3(y + -2) (-1 * 5 + y * 5) = 3(y + -2) (-5 + 5y) = 3(y + -2) Reorder the terms: -5 + 5y = 3(-2 + y) -5 + 5y = (-2 * 3 + y * 3) -5 + 5y = (-6 + 3y) Solving -5 + 5y = -6 + 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. -5 + 5y + -3y = -6 + 3y + -3y Combine like terms: 5y + -3y = 2y -5 + 2y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 2y = -6 + 0 -5 + 2y = -6 Add '5' to each side of the equation. -5 + 5 + 2y = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -6 + 5 2y = -6 + 5 Combine like terms: -6 + 5 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5
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