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Simplifying 6y + 45 = -3y Reorder the terms: 45 + 6y = -3y Solving 45 + 6y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 45 + 6y + 3y = -3y + 3y Combine like terms: 6y + 3y = 9y 45 + 9y = -3y + 3y Combine like terms: -3y + 3y = 0 45 + 9y = 0 Add '-45' to each side of the equation. 45 + -45 + 9y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9y = 0 + -45 9y = 0 + -45 Combine like terms: 0 + -45 = -45 9y = -45 Divide each side by '9'. y = -5 Simplifying y = -5
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