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Simplifying 7y + 8 = 15y + -1(16 + 24) Reorder the terms: 8 + 7y = 15y + -1(16 + 24) Combine like terms: 16 + 24 = 40 8 + 7y = 15y + -1(40) Multiply -1 * 40 8 + 7y = 15y + -40 Reorder the terms: 8 + 7y = -40 + 15y Solving 8 + 7y = -40 + 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. 8 + 7y + -15y = -40 + 15y + -15y Combine like terms: 7y + -15y = -8y 8 + -8y = -40 + 15y + -15y Combine like terms: 15y + -15y = 0 8 + -8y = -40 + 0 8 + -8y = -40 Add '-8' to each side of the equation. 8 + -8 + -8y = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -40 + -8 -8y = -40 + -8 Combine like terms: -40 + -8 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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