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Simplifying 6y + 30 = -4(y + 5) Reorder the terms: 30 + 6y = -4(y + 5) Reorder the terms: 30 + 6y = -4(5 + y) 30 + 6y = (5 * -4 + y * -4) 30 + 6y = (-20 + -4y) Solving 30 + 6y = -20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + 6y + 4y = -20 + -4y + 4y Combine like terms: 6y + 4y = 10y 30 + 10y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + 10y = -20 + 0 30 + 10y = -20 Add '-30' to each side of the equation. 30 + -30 + 10y = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 10y = -20 + -30 10y = -20 + -30 Combine like terms: -20 + -30 = -50 10y = -50 Divide each side by '10'. y = -5 Simplifying y = -5
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