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Simplifying 2 + -1(12y + 15) = y + (31 + -5y) Reorder the terms: 2 + -1(15 + 12y) = y + (31 + -5y) 2 + (15 * -1 + 12y * -1) = y + (31 + -5y) 2 + (-15 + -12y) = y + (31 + -5y) Combine like terms: 2 + -15 = -13 -13 + -12y = y + (31 + -5y) Remove parenthesis around (31 + -5y) -13 + -12y = y + 31 + -5y Reorder the terms: -13 + -12y = 31 + y + -5y Combine like terms: y + -5y = -4y -13 + -12y = 31 + -4y Solving -13 + -12y = 31 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -13 + -12y + 4y = 31 + -4y + 4y Combine like terms: -12y + 4y = -8y -13 + -8y = 31 + -4y + 4y Combine like terms: -4y + 4y = 0 -13 + -8y = 31 + 0 -13 + -8y = 31 Add '13' to each side of the equation. -13 + 13 + -8y = 31 + 13 Combine like terms: -13 + 13 = 0 0 + -8y = 31 + 13 -8y = 31 + 13 Combine like terms: 31 + 13 = 44 -8y = 44 Divide each side by '-8'. y = -5.5 Simplifying y = -5.5
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