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Simplifying -36 + -1(2y + -1) = 3(y + -1) + 3y Reorder the terms: -36 + -1(-1 + 2y) = 3(y + -1) + 3y -36 + (-1 * -1 + 2y * -1) = 3(y + -1) + 3y -36 + (1 + -2y) = 3(y + -1) + 3y Combine like terms: -36 + 1 = -35 -35 + -2y = 3(y + -1) + 3y Reorder the terms: -35 + -2y = 3(-1 + y) + 3y -35 + -2y = (-1 * 3 + y * 3) + 3y -35 + -2y = (-3 + 3y) + 3y Combine like terms: 3y + 3y = 6y -35 + -2y = -3 + 6y Solving -35 + -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. -35 + -2y + -6y = -3 + 6y + -6y Combine like terms: -2y + -6y = -8y -35 + -8y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 -35 + -8y = -3 + 0 -35 + -8y = -3 Add '35' to each side of the equation. -35 + 35 + -8y = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -8y = -3 + 35 -8y = -3 + 35 Combine like terms: -3 + 35 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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