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Simplifying 6(1y + -5) = 7y + -3 Reorder the terms: 6(-5 + 1y) = 7y + -3 (-5 * 6 + 1y * 6) = 7y + -3 (-30 + 6y) = 7y + -3 Reorder the terms: -30 + 6y = -3 + 7y Solving -30 + 6y = -3 + 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 + 6y + -7y = -3 + 7y + -7y Combine like terms: 6y + -7y = -1y -30 + -1y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 -30 + -1y = -3 + 0 -30 + -1y = -3 Add '30' to each side of the equation. -30 + 30 + -1y = -3 + 30 Combine like terms: -30 + 30 = 0 0 + -1y = -3 + 30 -1y = -3 + 30 Combine like terms: -3 + 30 = 27 -1y = 27 Divide each side by '-1'. y = -27 Simplifying y = -27
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