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Simplifying (2y + 3) + -6(y + 1) = 29 Reorder the terms: (3 + 2y) + -6(y + 1) = 29 Remove parenthesis around (3 + 2y) 3 + 2y + -6(y + 1) = 29 Reorder the terms: 3 + 2y + -6(1 + y) = 29 3 + 2y + (1 * -6 + y * -6) = 29 3 + 2y + (-6 + -6y) = 29 Reorder the terms: 3 + -6 + 2y + -6y = 29 Combine like terms: 3 + -6 = -3 -3 + 2y + -6y = 29 Combine like terms: 2y + -6y = -4y -3 + -4y = 29 Solving -3 + -4y = 29 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4y = 29 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 29 + 3 -4y = 29 + 3 Combine like terms: 29 + 3 = 32 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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