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Simplifying -6(y + 5) = 4y + 40 Reorder the terms: -6(5 + y) = 4y + 40 (5 * -6 + y * -6) = 4y + 40 (-30 + -6y) = 4y + 40 Reorder the terms: -30 + -6y = 40 + 4y Solving -30 + -6y = 40 + 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 = 40 + 4y + -4y Combine like terms: -6y + -4y = -10y -30 + -10y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + -10y = 40 + 0 -30 + -10y = 40 Add '30' to each side of the equation. -30 + 30 + -10y = 40 + 30 Combine like terms: -30 + 30 = 0 0 + -10y = 40 + 30 -10y = 40 + 30 Combine like terms: 40 + 30 = 70 -10y = 70 Divide each side by '-10'. y = -7 Simplifying y = -7
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