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Simplifying -3(y + 4) + -1(2y + 13) = 7y + 11 Reorder the terms: -3(4 + y) + -1(2y + 13) = 7y + 11 (4 * -3 + y * -3) + -1(2y + 13) = 7y + 11 (-12 + -3y) + -1(2y + 13) = 7y + 11 Reorder the terms: -12 + -3y + -1(13 + 2y) = 7y + 11 -12 + -3y + (13 * -1 + 2y * -1) = 7y + 11 -12 + -3y + (-13 + -2y) = 7y + 11 Reorder the terms: -12 + -13 + -3y + -2y = 7y + 11 Combine like terms: -12 + -13 = -25 -25 + -3y + -2y = 7y + 11 Combine like terms: -3y + -2y = -5y -25 + -5y = 7y + 11 Reorder the terms: -25 + -5y = 11 + 7y Solving -25 + -5y = 11 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -25 + -5y + -7y = 11 + 7y + -7y Combine like terms: -5y + -7y = -12y -25 + -12y = 11 + 7y + -7y Combine like terms: 7y + -7y = 0 -25 + -12y = 11 + 0 -25 + -12y = 11 Add '25' to each side of the equation. -25 + 25 + -12y = 11 + 25 Combine like terms: -25 + 25 = 0 0 + -12y = 11 + 25 -12y = 11 + 25 Combine like terms: 11 + 25 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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