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Simplifying 5 + -1(6y + 9) + 2y = 2(y + 1) Reorder the terms: 5 + -1(9 + 6y) + 2y = 2(y + 1) 5 + (9 * -1 + 6y * -1) + 2y = 2(y + 1) 5 + (-9 + -6y) + 2y = 2(y + 1) Combine like terms: 5 + -9 = -4 -4 + -6y + 2y = 2(y + 1) Combine like terms: -6y + 2y = -4y -4 + -4y = 2(y + 1) Reorder the terms: -4 + -4y = 2(1 + y) -4 + -4y = (1 * 2 + y * 2) -4 + -4y = (2 + 2y) Solving -4 + -4y = 2 + 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. -4 + -4y + -2y = 2 + 2y + -2y Combine like terms: -4y + -2y = -6y -4 + -6y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + -6y = 2 + 0 -4 + -6y = 2 Add '4' to each side of the equation. -4 + 4 + -6y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -6y = 2 + 4 -6y = 2 + 4 Combine like terms: 2 + 4 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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