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Simplifying 4(y + 3) = 7 + -5y Reorder the terms: 4(3 + y) = 7 + -5y (3 * 4 + y * 4) = 7 + -5y (12 + 4y) = 7 + -5y Solving 12 + 4y = 7 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 12 + 4y + 5y = 7 + -5y + 5y Combine like terms: 4y + 5y = 9y 12 + 9y = 7 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 9y = 7 + 0 12 + 9y = 7 Add '-12' to each side of the equation. 12 + -12 + 9y = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = 7 + -12 9y = 7 + -12 Combine like terms: 7 + -12 = -5 9y = -5 Divide each side by '9'. y = -0.5555555556 Simplifying y = -0.5555555556
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