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Simplifying -5y + 30 = 5(y + -6) Reorder the terms: 30 + -5y = 5(y + -6) Reorder the terms: 30 + -5y = 5(-6 + y) 30 + -5y = (-6 * 5 + y * 5) 30 + -5y = (-30 + 5y) Solving 30 + -5y = -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 + -5y + -5y = -30 + 5y + -5y Combine like terms: -5y + -5y = -10y 30 + -10y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 30 + -10y = -30 + 0 30 + -10y = -30 Add '-30' to each side of the equation. 30 + -30 + -10y = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -10y = -30 + -30 -10y = -30 + -30 Combine like terms: -30 + -30 = -60 -10y = -60 Divide each side by '-10'. y = 6 Simplifying y = 6
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