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Simplifying -6y + -30 = -3(y + 5) Reorder the terms: -30 + -6y = -3(y + 5) Reorder the terms: -30 + -6y = -3(5 + y) -30 + -6y = (5 * -3 + y * -3) -30 + -6y = (-15 + -3y) Solving -30 + -6y = -15 + -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 = -15 + -3y + 3y Combine like terms: -6y + 3y = -3y -30 + -3y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + -3y = -15 + 0 -30 + -3y = -15 Add '30' to each side of the equation. -30 + 30 + -3y = -15 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = -15 + 30 -3y = -15 + 30 Combine like terms: -15 + 30 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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