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