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Simplifying (5y + 8) + -1(2Y + -2) = 0 Reorder the terms: (8 + 5y) + -1(2Y + -2) = 0 Remove parenthesis around (8 + 5y) 8 + 5y + -1(2Y + -2) = 0 Reorder the terms: 8 + 5y + -1(-2 + 2Y) = 0 8 + 5y + (-2 * -1 + 2Y * -1) = 0 8 + 5y + (2 + -2Y) = 0 Reorder the terms: 8 + 2 + -2Y + 5y = 0 Combine like terms: 8 + 2 = 10 10 + -2Y + 5y = 0 Solving 10 + -2Y + 5y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2Y + -10 + 5y = 0 + -10 Reorder the terms: 10 + -10 + -2Y + 5y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2Y + 5y = 0 + -10 -2Y + 5y = 0 + -10 Combine like terms: 0 + -10 = -10 -2Y + 5y = -10 Add '-5y' to each side of the equation. -2Y + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 -2Y + 0 = -10 + -5y -2Y = -10 + -5y Divide each side by '-2'. Y = 5 + 2.5y Simplifying Y = 5 + 2.5y
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