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Simplifying -5y + -16 = 4(y + 5) Reorder the terms: -16 + -5y = 4(y + 5) Reorder the terms: -16 + -5y = 4(5 + y) -16 + -5y = (5 * 4 + y * 4) -16 + -5y = (20 + 4y) Solving -16 + -5y = 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. -16 + -5y + -4y = 20 + 4y + -4y Combine like terms: -5y + -4y = -9y -16 + -9y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + -9y = 20 + 0 -16 + -9y = 20 Add '16' to each side of the equation. -16 + 16 + -9y = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -9y = 20 + 16 -9y = 20 + 16 Combine like terms: 20 + 16 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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