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