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Simplifying 6y + 30 = -3(y + -1) Reorder the terms: 30 + 6y = -3(y + -1) Reorder the terms: 30 + 6y = -3(-1 + y) 30 + 6y = (-1 * -3 + y * -3) 30 + 6y = (3 + -3y) Solving 30 + 6y = 3 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 30 + 6y + 3y = 3 + -3y + 3y Combine like terms: 6y + 3y = 9y 30 + 9y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + 9y = 3 + 0 30 + 9y = 3 Add '-30' to each side of the equation. 30 + -30 + 9y = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 9y = 3 + -30 9y = 3 + -30 Combine like terms: 3 + -30 = -27 9y = -27 Divide each side by '9'. y = -3 Simplifying y = -3
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