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Simplifying -2(-8y + 5) + -9y = 3(y + -6) + -6 Reorder the terms: -2(5 + -8y) + -9y = 3(y + -6) + -6 (5 * -2 + -8y * -2) + -9y = 3(y + -6) + -6 (-10 + 16y) + -9y = 3(y + -6) + -6 Combine like terms: 16y + -9y = 7y -10 + 7y = 3(y + -6) + -6 Reorder the terms: -10 + 7y = 3(-6 + y) + -6 -10 + 7y = (-6 * 3 + y * 3) + -6 -10 + 7y = (-18 + 3y) + -6 Reorder the terms: -10 + 7y = -18 + -6 + 3y Combine like terms: -18 + -6 = -24 -10 + 7y = -24 + 3y Solving -10 + 7y = -24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + 7y + -3y = -24 + 3y + -3y Combine like terms: 7y + -3y = 4y -10 + 4y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 4y = -24 + 0 -10 + 4y = -24 Add '10' to each side of the equation. -10 + 10 + 4y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 4y = -24 + 10 4y = -24 + 10 Combine like terms: -24 + 10 = -14 4y = -14 Divide each side by '4'. y = -3.5 Simplifying y = -3.5
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