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Simplifying 3y + 14 = -1(5y + 18) Reorder the terms: 14 + 3y = -1(5y + 18) Reorder the terms: 14 + 3y = -1(18 + 5y) 14 + 3y = (18 * -1 + 5y * -1) 14 + 3y = (-18 + -5y) Solving 14 + 3y = -18 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 14 + 3y + 5y = -18 + -5y + 5y Combine like terms: 3y + 5y = 8y 14 + 8y = -18 + -5y + 5y Combine like terms: -5y + 5y = 0 14 + 8y = -18 + 0 14 + 8y = -18 Add '-14' to each side of the equation. 14 + -14 + 8y = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 8y = -18 + -14 8y = -18 + -14 Combine like terms: -18 + -14 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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