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Simplifying -7(-3y + 1) + -6y = (3y + -6) + -7 Reorder the terms: -7(1 + -3y) + -6y = (3y + -6) + -7 (1 * -7 + -3y * -7) + -6y = (3y + -6) + -7 (-7 + 21y) + -6y = (3y + -6) + -7 Combine like terms: 21y + -6y = 15y -7 + 15y = (3y + -6) + -7 Reorder the terms: -7 + 15y = (-6 + 3y) + -7 Remove parenthesis around (-6 + 3y) -7 + 15y = -6 + 3y + -7 Reorder the terms: -7 + 15y = -6 + -7 + 3y Combine like terms: -6 + -7 = -13 -7 + 15y = -13 + 3y Solving -7 + 15y = -13 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + 15y + -3y = -13 + 3y + -3y Combine like terms: 15y + -3y = 12y -7 + 12y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 12y = -13 + 0 -7 + 12y = -13 Add '7' to each side of the equation. -7 + 7 + 12y = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 12y = -13 + 7 12y = -13 + 7 Combine like terms: -13 + 7 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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