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Simplifying 4y + 9 = 2(y + -6) + 69 Reorder the terms: 9 + 4y = 2(y + -6) + 69 Reorder the terms: 9 + 4y = 2(-6 + y) + 69 9 + 4y = (-6 * 2 + y * 2) + 69 9 + 4y = (-12 + 2y) + 69 Reorder the terms: 9 + 4y = -12 + 69 + 2y Combine like terms: -12 + 69 = 57 9 + 4y = 57 + 2y Solving 9 + 4y = 57 + 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. 9 + 4y + -2y = 57 + 2y + -2y Combine like terms: 4y + -2y = 2y 9 + 2y = 57 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 2y = 57 + 0 9 + 2y = 57 Add '-9' to each side of the equation. 9 + -9 + 2y = 57 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 57 + -9 2y = 57 + -9 Combine like terms: 57 + -9 = 48 2y = 48 Divide each side by '2'. y = 24 Simplifying y = 24
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