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Simplifying 8(2y + -2) + -1(9y + 5) = 0 Reorder the terms: 8(-2 + 2y) + -1(9y + 5) = 0 (-2 * 8 + 2y * 8) + -1(9y + 5) = 0 (-16 + 16y) + -1(9y + 5) = 0 Reorder the terms: -16 + 16y + -1(5 + 9y) = 0 -16 + 16y + (5 * -1 + 9y * -1) = 0 -16 + 16y + (-5 + -9y) = 0 Reorder the terms: -16 + -5 + 16y + -9y = 0 Combine like terms: -16 + -5 = -21 -21 + 16y + -9y = 0 Combine like terms: 16y + -9y = 7y -21 + 7y = 0 Solving -21 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7y = 0 + 21 7y = 0 + 21 Combine like terms: 0 + 21 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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