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Simplifying -6y + 14 = -2(y + 9) Reorder the terms: 14 + -6y = -2(y + 9) Reorder the terms: 14 + -6y = -2(9 + y) 14 + -6y = (9 * -2 + y * -2) 14 + -6y = (-18 + -2y) Solving 14 + -6y = -18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 14 + -6y + 2y = -18 + -2y + 2y Combine like terms: -6y + 2y = -4y 14 + -4y = -18 + -2y + 2y Combine like terms: -2y + 2y = 0 14 + -4y = -18 + 0 14 + -4y = -18 Add '-14' to each side of the equation. 14 + -14 + -4y = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = -18 + -14 -4y = -18 + -14 Combine like terms: -18 + -14 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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