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Simplifying 4(y + 10) = 2y + 6 Reorder the terms: 4(10 + y) = 2y + 6 (10 * 4 + y * 4) = 2y + 6 (40 + 4y) = 2y + 6 Reorder the terms: 40 + 4y = 6 + 2y Solving 40 + 4y = 6 + 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. 40 + 4y + -2y = 6 + 2y + -2y Combine like terms: 4y + -2y = 2y 40 + 2y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 2y = 6 + 0 40 + 2y = 6 Add '-40' to each side of the equation. 40 + -40 + 2y = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 2y = 6 + -40 2y = 6 + -40 Combine like terms: 6 + -40 = -34 2y = -34 Divide each side by '2'. y = -17 Simplifying y = -17
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