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Simplifying -3y + 45 = 3(3y + -5) Reorder the terms: 45 + -3y = 3(3y + -5) Reorder the terms: 45 + -3y = 3(-5 + 3y) 45 + -3y = (-5 * 3 + 3y * 3) 45 + -3y = (-15 + 9y) Solving 45 + -3y = -15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 45 + -3y + -9y = -15 + 9y + -9y Combine like terms: -3y + -9y = -12y 45 + -12y = -15 + 9y + -9y Combine like terms: 9y + -9y = 0 45 + -12y = -15 + 0 45 + -12y = -15 Add '-45' to each side of the equation. 45 + -45 + -12y = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -12y = -15 + -45 -12y = -15 + -45 Combine like terms: -15 + -45 = -60 -12y = -60 Divide each side by '-12'. y = 5 Simplifying y = 5
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