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Simplifying 3(2y + -7) + -1(8y + 5) = 0 Reorder the terms: 3(-7 + 2y) + -1(8y + 5) = 0 (-7 * 3 + 2y * 3) + -1(8y + 5) = 0 (-21 + 6y) + -1(8y + 5) = 0 Reorder the terms: -21 + 6y + -1(5 + 8y) = 0 -21 + 6y + (5 * -1 + 8y * -1) = 0 -21 + 6y + (-5 + -8y) = 0 Reorder the terms: -21 + -5 + 6y + -8y = 0 Combine like terms: -21 + -5 = -26 -26 + 6y + -8y = 0 Combine like terms: 6y + -8y = -2y -26 + -2y = 0 Solving -26 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -2y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -2y = 0 + 26 -2y = 0 + 26 Combine like terms: 0 + 26 = 26 -2y = 26 Divide each side by '-2'. y = -13 Simplifying y = -13
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