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Simplifying 8(7y + -9) = -6 + -10y Reorder the terms: 8(-9 + 7y) = -6 + -10y (-9 * 8 + 7y * 8) = -6 + -10y (-72 + 56y) = -6 + -10y Solving -72 + 56y = -6 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -72 + 56y + 10y = -6 + -10y + 10y Combine like terms: 56y + 10y = 66y -72 + 66y = -6 + -10y + 10y Combine like terms: -10y + 10y = 0 -72 + 66y = -6 + 0 -72 + 66y = -6 Add '72' to each side of the equation. -72 + 72 + 66y = -6 + 72 Combine like terms: -72 + 72 = 0 0 + 66y = -6 + 72 66y = -6 + 72 Combine like terms: -6 + 72 = 66 66y = 66 Divide each side by '66'. y = 1 Simplifying y = 1
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