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Simplifying -13 + 5(y + -4) = 4(y + -8) Reorder the terms: -13 + 5(-4 + y) = 4(y + -8) -13 + (-4 * 5 + y * 5) = 4(y + -8) -13 + (-20 + 5y) = 4(y + -8) Combine like terms: -13 + -20 = -33 -33 + 5y = 4(y + -8) Reorder the terms: -33 + 5y = 4(-8 + y) -33 + 5y = (-8 * 4 + y * 4) -33 + 5y = (-32 + 4y) Solving -33 + 5y = -32 + 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. -33 + 5y + -4y = -32 + 4y + -4y Combine like terms: 5y + -4y = 1y -33 + 1y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 -33 + 1y = -32 + 0 -33 + 1y = -32 Add '33' to each side of the equation. -33 + 33 + 1y = -32 + 33 Combine like terms: -33 + 33 = 0 0 + 1y = -32 + 33 1y = -32 + 33 Combine like terms: -32 + 33 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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