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Simplifying -6(2y + -5) = 7(3 + -1y) Reorder the terms: -6(-5 + 2y) = 7(3 + -1y) (-5 * -6 + 2y * -6) = 7(3 + -1y) (30 + -12y) = 7(3 + -1y) 30 + -12y = (3 * 7 + -1y * 7) 30 + -12y = (21 + -7y) Solving 30 + -12y = 21 + -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. 30 + -12y + 7y = 21 + -7y + 7y Combine like terms: -12y + 7y = -5y 30 + -5y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 30 + -5y = 21 + 0 30 + -5y = 21 Add '-30' to each side of the equation. 30 + -30 + -5y = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = 21 + -30 -5y = 21 + -30 Combine like terms: 21 + -30 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8
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