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Simplifying 7y + -30 = -5(y + -6) Reorder the terms: -30 + 7y = -5(y + -6) Reorder the terms: -30 + 7y = -5(-6 + y) -30 + 7y = (-6 * -5 + y * -5) -30 + 7y = (30 + -5y) Solving -30 + 7y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -30 + 7y + 5y = 30 + -5y + 5y Combine like terms: 7y + 5y = 12y -30 + 12y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 -30 + 12y = 30 + 0 -30 + 12y = 30 Add '30' to each side of the equation. -30 + 30 + 12y = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = 30 + 30 12y = 30 + 30 Combine like terms: 30 + 30 = 60 12y = 60 Divide each side by '12'. y = 5 Simplifying y = 5
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