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Simplifying 12(y + -2) + -7 = 2y + -1 Reorder the terms: 12(-2 + y) + -7 = 2y + -1 (-2 * 12 + y * 12) + -7 = 2y + -1 (-24 + 12y) + -7 = 2y + -1 Reorder the terms: -24 + -7 + 12y = 2y + -1 Combine like terms: -24 + -7 = -31 -31 + 12y = 2y + -1 Reorder the terms: -31 + 12y = -1 + 2y Solving -31 + 12y = -1 + 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. -31 + 12y + -2y = -1 + 2y + -2y Combine like terms: 12y + -2y = 10y -31 + 10y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 -31 + 10y = -1 + 0 -31 + 10y = -1 Add '31' to each side of the equation. -31 + 31 + 10y = -1 + 31 Combine like terms: -31 + 31 = 0 0 + 10y = -1 + 31 10y = -1 + 31 Combine like terms: -1 + 31 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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