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Simplifying 3y + -30 = -6(y + 8) Reorder the terms: -30 + 3y = -6(y + 8) Reorder the terms: -30 + 3y = -6(8 + y) -30 + 3y = (8 * -6 + y * -6) -30 + 3y = (-48 + -6y) Solving -30 + 3y = -48 + -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 + 3y + 6y = -48 + -6y + 6y Combine like terms: 3y + 6y = 9y -30 + 9y = -48 + -6y + 6y Combine like terms: -6y + 6y = 0 -30 + 9y = -48 + 0 -30 + 9y = -48 Add '30' to each side of the equation. -30 + 30 + 9y = -48 + 30 Combine like terms: -30 + 30 = 0 0 + 9y = -48 + 30 9y = -48 + 30 Combine like terms: -48 + 30 = -18 9y = -18 Divide each side by '9'. y = -2 Simplifying y = -2
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