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Simplifying 3y + 45 = 3(5y + 3) Reorder the terms: 45 + 3y = 3(5y + 3) Reorder the terms: 45 + 3y = 3(3 + 5y) 45 + 3y = (3 * 3 + 5y * 3) 45 + 3y = (9 + 15y) Solving 45 + 3y = 9 + 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. 45 + 3y + -15y = 9 + 15y + -15y Combine like terms: 3y + -15y = -12y 45 + -12y = 9 + 15y + -15y Combine like terms: 15y + -15y = 0 45 + -12y = 9 + 0 45 + -12y = 9 Add '-45' to each side of the equation. 45 + -45 + -12y = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -12y = 9 + -45 -12y = 9 + -45 Combine like terms: 9 + -45 = -36 -12y = -36 Divide each side by '-12'. y = 3 Simplifying y = 3
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