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Simplifying 2y + 30 = -6(y + 3) Reorder the terms: 30 + 2y = -6(y + 3) Reorder the terms: 30 + 2y = -6(3 + y) 30 + 2y = (3 * -6 + y * -6) 30 + 2y = (-18 + -6y) Solving 30 + 2y = -18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 30 + 2y + 6y = -18 + -6y + 6y Combine like terms: 2y + 6y = 8y 30 + 8y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 30 + 8y = -18 + 0 30 + 8y = -18 Add '-30' to each side of the equation. 30 + -30 + 8y = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 8y = -18 + -30 8y = -18 + -30 Combine like terms: -18 + -30 = -48 8y = -48 Divide each side by '8'. y = -6 Simplifying y = -6
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