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Simplifying 5(y + -4) + 2y = 6(y + -3) Reorder the terms: 5(-4 + y) + 2y = 6(y + -3) (-4 * 5 + y * 5) + 2y = 6(y + -3) (-20 + 5y) + 2y = 6(y + -3) Combine like terms: 5y + 2y = 7y -20 + 7y = 6(y + -3) Reorder the terms: -20 + 7y = 6(-3 + y) -20 + 7y = (-3 * 6 + y * 6) -20 + 7y = (-18 + 6y) Solving -20 + 7y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -20 + 7y + -6y = -18 + 6y + -6y Combine like terms: 7y + -6y = 1y -20 + 1y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 -20 + 1y = -18 + 0 -20 + 1y = -18 Add '20' to each side of the equation. -20 + 20 + 1y = -18 + 20 Combine like terms: -20 + 20 = 0 0 + 1y = -18 + 20 1y = -18 + 20 Combine like terms: -18 + 20 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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