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