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Simplifying 7(y + 4) + 10 = 6y + -6 Reorder the terms: 7(4 + y) + 10 = 6y + -6 (4 * 7 + y * 7) + 10 = 6y + -6 (28 + 7y) + 10 = 6y + -6 Reorder the terms: 28 + 10 + 7y = 6y + -6 Combine like terms: 28 + 10 = 38 38 + 7y = 6y + -6 Reorder the terms: 38 + 7y = -6 + 6y Solving 38 + 7y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 38 + 7y + -6y = -6 + 6y + -6y Combine like terms: 7y + -6y = 1y 38 + 1y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 38 + 1y = -6 + 0 38 + 1y = -6 Add '-38' to each side of the equation. 38 + -38 + 1y = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 1y = -6 + -38 1y = -6 + -38 Combine like terms: -6 + -38 = -44 1y = -44 Divide each side by '1'. y = -44 Simplifying y = -44
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