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Simplifying -4(y + 3) = -5(y + -4) Reorder the terms: -4(3 + y) = -5(y + -4) (3 * -4 + y * -4) = -5(y + -4) (-12 + -4y) = -5(y + -4) Reorder the terms: -12 + -4y = -5(-4 + y) -12 + -4y = (-4 * -5 + y * -5) -12 + -4y = (20 + -5y) Solving -12 + -4y = 20 + -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. -12 + -4y + 5y = 20 + -5y + 5y Combine like terms: -4y + 5y = 1y -12 + 1y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 1y = 20 + 0 -12 + 1y = 20 Add '12' to each side of the equation. -12 + 12 + 1y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 20 + 12 1y = 20 + 12 Combine like terms: 20 + 12 = 32 1y = 32 Divide each side by '1'. y = 32 Simplifying y = 32
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