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Simplifying (13y + -7) + -6(2y + 1) = 0 Reorder the terms: (-7 + 13y) + -6(2y + 1) = 0 Remove parenthesis around (-7 + 13y) -7 + 13y + -6(2y + 1) = 0 Reorder the terms: -7 + 13y + -6(1 + 2y) = 0 -7 + 13y + (1 * -6 + 2y * -6) = 0 -7 + 13y + (-6 + -12y) = 0 Reorder the terms: -7 + -6 + 13y + -12y = 0 Combine like terms: -7 + -6 = -13 -13 + 13y + -12y = 0 Combine like terms: 13y + -12y = 1y -13 + 1y = 0 Solving -13 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = 0 + 13 1y = 0 + 13 Combine like terms: 0 + 13 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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