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Simplifying 5y + 36 = 8(y + 6) Reorder the terms: 36 + 5y = 8(y + 6) Reorder the terms: 36 + 5y = 8(6 + y) 36 + 5y = (6 * 8 + y * 8) 36 + 5y = (48 + 8y) Solving 36 + 5y = 48 + 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. 36 + 5y + -8y = 48 + 8y + -8y Combine like terms: 5y + -8y = -3y 36 + -3y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 36 + -3y = 48 + 0 36 + -3y = 48 Add '-36' to each side of the equation. 36 + -36 + -3y = 48 + -36 Combine like terms: 36 + -36 = 0 0 + -3y = 48 + -36 -3y = 48 + -36 Combine like terms: 48 + -36 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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