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Simplifying 6(y + -5) + -6(3y + -7) = 0 Reorder the terms: 6(-5 + y) + -6(3y + -7) = 0 (-5 * 6 + y * 6) + -6(3y + -7) = 0 (-30 + 6y) + -6(3y + -7) = 0 Reorder the terms: -30 + 6y + -6(-7 + 3y) = 0 -30 + 6y + (-7 * -6 + 3y * -6) = 0 -30 + 6y + (42 + -18y) = 0 Reorder the terms: -30 + 42 + 6y + -18y = 0 Combine like terms: -30 + 42 = 12 12 + 6y + -18y = 0 Combine like terms: 6y + -18y = -12y 12 + -12y = 0 Solving 12 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -12y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = 0 + -12 -12y = 0 + -12 Combine like terms: 0 + -12 = -12 -12y = -12 Divide each side by '-12'. y = 1 Simplifying y = 1
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