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Simplifying 38 = 4(y + 8) + -7y Reorder the terms: 38 = 4(8 + y) + -7y 38 = (8 * 4 + y * 4) + -7y 38 = (32 + 4y) + -7y Combine like terms: 4y + -7y = -3y 38 = 32 + -3y Solving 38 = 32 + -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. 38 + 3y = 32 + -3y + 3y Combine like terms: -3y + 3y = 0 38 + 3y = 32 + 0 38 + 3y = 32 Add '-38' to each side of the equation. 38 + -38 + 3y = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 3y = 32 + -38 3y = 32 + -38 Combine like terms: 32 + -38 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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