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Simplifying 5(y + 2) = 3(y + -2) Reorder the terms: 5(2 + y) = 3(y + -2) (2 * 5 + y * 5) = 3(y + -2) (10 + 5y) = 3(y + -2) Reorder the terms: 10 + 5y = 3(-2 + y) 10 + 5y = (-2 * 3 + y * 3) 10 + 5y = (-6 + 3y) Solving 10 + 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. 10 + 5y + -3y = -6 + 3y + -3y Combine like terms: 5y + -3y = 2y 10 + 2y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 2y = -6 + 0 10 + 2y = -6 Add '-10' to each side of the equation. 10 + -10 + 2y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = -6 + -10 2y = -6 + -10 Combine like terms: -6 + -10 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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