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Simplifying 7y + -16 = 8(1 + -2y) + 31y Reorder the terms: -16 + 7y = 8(1 + -2y) + 31y -16 + 7y = (1 * 8 + -2y * 8) + 31y -16 + 7y = (8 + -16y) + 31y Combine like terms: -16y + 31y = 15y -16 + 7y = 8 + 15y Solving -16 + 7y = 8 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -16 + 7y + -15y = 8 + 15y + -15y Combine like terms: 7y + -15y = -8y -16 + -8y = 8 + 15y + -15y Combine like terms: 15y + -15y = 0 -16 + -8y = 8 + 0 -16 + -8y = 8 Add '16' to each side of the equation. -16 + 16 + -8y = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -8y = 8 + 16 -8y = 8 + 16 Combine like terms: 8 + 16 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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