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Simplifying 5y + 36 = 3(4y + 5) Reorder the terms: 36 + 5y = 3(4y + 5) Reorder the terms: 36 + 5y = 3(5 + 4y) 36 + 5y = (5 * 3 + 4y * 3) 36 + 5y = (15 + 12y) Solving 36 + 5y = 15 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 36 + 5y + -12y = 15 + 12y + -12y Combine like terms: 5y + -12y = -7y 36 + -7y = 15 + 12y + -12y Combine like terms: 12y + -12y = 0 36 + -7y = 15 + 0 36 + -7y = 15 Add '-36' to each side of the equation. 36 + -36 + -7y = 15 + -36 Combine like terms: 36 + -36 = 0 0 + -7y = 15 + -36 -7y = 15 + -36 Combine like terms: 15 + -36 = -21 -7y = -21 Divide each side by '-7'. y = 3 Simplifying y = 3
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