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Simplifying 4(y + 3) + -7 = 2y + 9 Reorder the terms: 4(3 + y) + -7 = 2y + 9 (3 * 4 + y * 4) + -7 = 2y + 9 (12 + 4y) + -7 = 2y + 9 Reorder the terms: 12 + -7 + 4y = 2y + 9 Combine like terms: 12 + -7 = 5 5 + 4y = 2y + 9 Reorder the terms: 5 + 4y = 9 + 2y Solving 5 + 4y = 9 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + 4y + -2y = 9 + 2y + -2y Combine like terms: 4y + -2y = 2y 5 + 2y = 9 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 2y = 9 + 0 5 + 2y = 9 Add '-5' to each side of the equation. 5 + -5 + 2y = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 9 + -5 2y = 9 + -5 Combine like terms: 9 + -5 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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