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Simplifying -4y + -36 = -6(y + 4) Reorder the terms: -36 + -4y = -6(y + 4) Reorder the terms: -36 + -4y = -6(4 + y) -36 + -4y = (4 * -6 + y * -6) -36 + -4y = (-24 + -6y) Solving -36 + -4y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -36 + -4y + 6y = -24 + -6y + 6y Combine like terms: -4y + 6y = 2y -36 + 2y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -36 + 2y = -24 + 0 -36 + 2y = -24 Add '36' to each side of the equation. -36 + 36 + 2y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 2y = -24 + 36 2y = -24 + 36 Combine like terms: -24 + 36 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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