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Simplifying 4(y + 1) = 10 + -1(2y + 6) Reorder the terms: 4(1 + y) = 10 + -1(2y + 6) (1 * 4 + y * 4) = 10 + -1(2y + 6) (4 + 4y) = 10 + -1(2y + 6) Reorder the terms: 4 + 4y = 10 + -1(6 + 2y) 4 + 4y = 10 + (6 * -1 + 2y * -1) 4 + 4y = 10 + (-6 + -2y) Combine like terms: 10 + -6 = 4 4 + 4y = 4 + -2y Add '-4' to each side of the equation. 4 + -4 + 4y = 4 + -4 + -2y Combine like terms: 4 + -4 = 0 0 + 4y = 4 + -4 + -2y 4y = 4 + -4 + -2y Combine like terms: 4 + -4 = 0 4y = 0 + -2y 4y = -2y Solving 4y = -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. 4y + 2y = -2y + 2y Combine like terms: 4y + 2y = 6y 6y = -2y + 2y Combine like terms: -2y + 2y = 0 6y = 0 Divide each side by '6'. y = 0 Simplifying y = 0
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