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Simplifying -18 + 29y = -25 + -1(-7y + 13) + (12y + -14) Reorder the terms: -18 + 29y = -25 + -1(13 + -7y) + (12y + -14) -18 + 29y = -25 + (13 * -1 + -7y * -1) + (12y + -14) -18 + 29y = -25 + (-13 + 7y) + (12y + -14) Reorder the terms: -18 + 29y = -25 + -13 + 7y + (-14 + 12y) Remove parenthesis around (-14 + 12y) -18 + 29y = -25 + -13 + 7y + -14 + 12y Reorder the terms: -18 + 29y = -25 + -13 + -14 + 7y + 12y Combine like terms: -25 + -13 = -38 -18 + 29y = -38 + -14 + 7y + 12y Combine like terms: -38 + -14 = -52 -18 + 29y = -52 + 7y + 12y Combine like terms: 7y + 12y = 19y -18 + 29y = -52 + 19y Solving -18 + 29y = -52 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -18 + 29y + -19y = -52 + 19y + -19y Combine like terms: 29y + -19y = 10y -18 + 10y = -52 + 19y + -19y Combine like terms: 19y + -19y = 0 -18 + 10y = -52 + 0 -18 + 10y = -52 Add '18' to each side of the equation. -18 + 18 + 10y = -52 + 18 Combine like terms: -18 + 18 = 0 0 + 10y = -52 + 18 10y = -52 + 18 Combine like terms: -52 + 18 = -34 10y = -34 Divide each side by '10'. y = -3.4 Simplifying y = -3.4
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