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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 = -18y -45 + -18y = 9 + 15y + -15y Combine like terms: 15y + -15y = 0 -45 + -18y = 9 + 0 -45 + -18y = 9 Add '45' to each side of the equation. -45 + 45 + -18y = 9 + 45 Combine like terms: -45 + 45 = 0 0 + -18y = 9 + 45 -18y = 9 + 45 Combine like terms: 9 + 45 = 54 -18y = 54 Divide each side by '-18'. y = -3 Simplifying y = -3
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