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Simplifying (6y + -8) + -1(4y + 2) = 0 Reorder the terms: (-8 + 6y) + -1(4y + 2) = 0 Remove parenthesis around (-8 + 6y) -8 + 6y + -1(4y + 2) = 0 Reorder the terms: -8 + 6y + -1(2 + 4y) = 0 -8 + 6y + (2 * -1 + 4y * -1) = 0 -8 + 6y + (-2 + -4y) = 0 Reorder the terms: -8 + -2 + 6y + -4y = 0 Combine like terms: -8 + -2 = -10 -10 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y -10 + 2y = 0 Solving -10 + 2y = 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 + 10 + 2y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2y = 0 + 10 2y = 0 + 10 Combine like terms: 0 + 10 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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