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Simplifying -27 + -1(2y + 2) = 3(y + 1) + 3y Reorder the terms: -27 + -1(2 + 2y) = 3(y + 1) + 3y -27 + (2 * -1 + 2y * -1) = 3(y + 1) + 3y -27 + (-2 + -2y) = 3(y + 1) + 3y Combine like terms: -27 + -2 = -29 -29 + -2y = 3(y + 1) + 3y Reorder the terms: -29 + -2y = 3(1 + y) + 3y -29 + -2y = (1 * 3 + y * 3) + 3y -29 + -2y = (3 + 3y) + 3y Combine like terms: 3y + 3y = 6y -29 + -2y = 3 + 6y Solving -29 + -2y = 3 + 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. -29 + -2y + -6y = 3 + 6y + -6y Combine like terms: -2y + -6y = -8y -29 + -8y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -29 + -8y = 3 + 0 -29 + -8y = 3 Add '29' to each side of the equation. -29 + 29 + -8y = 3 + 29 Combine like terms: -29 + 29 = 0 0 + -8y = 3 + 29 -8y = 3 + 29 Combine like terms: 3 + 29 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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