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Simplifying 5y + -16 = 2(4y + -5) Reorder the terms: -16 + 5y = 2(4y + -5) Reorder the terms: -16 + 5y = 2(-5 + 4y) -16 + 5y = (-5 * 2 + 4y * 2) -16 + 5y = (-10 + 8y) Solving -16 + 5y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -16 + 5y + -8y = -10 + 8y + -8y Combine like terms: 5y + -8y = -3y -16 + -3y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -16 + -3y = -10 + 0 -16 + -3y = -10 Add '16' to each side of the equation. -16 + 16 + -3y = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -3y = -10 + 16 -3y = -10 + 16 Combine like terms: -10 + 16 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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