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Simplifying 6(y + 3) = -2(y + 31) Reorder the terms: 6(3 + y) = -2(y + 31) (3 * 6 + y * 6) = -2(y + 31) (18 + 6y) = -2(y + 31) Reorder the terms: 18 + 6y = -2(31 + y) 18 + 6y = (31 * -2 + y * -2) 18 + 6y = (-62 + -2y) Solving 18 + 6y = -62 + -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. 18 + 6y + 2y = -62 + -2y + 2y Combine like terms: 6y + 2y = 8y 18 + 8y = -62 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + 8y = -62 + 0 18 + 8y = -62 Add '-18' to each side of the equation. 18 + -18 + 8y = -62 + -18 Combine like terms: 18 + -18 = 0 0 + 8y = -62 + -18 8y = -62 + -18 Combine like terms: -62 + -18 = -80 8y = -80 Divide each side by '8'. y = -10 Simplifying y = -10
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