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Simplifying 5(y + 7) = 6(y + -3) Reorder the terms: 5(7 + y) = 6(y + -3) (7 * 5 + y * 5) = 6(y + -3) (35 + 5y) = 6(y + -3) Reorder the terms: 35 + 5y = 6(-3 + y) 35 + 5y = (-3 * 6 + y * 6) 35 + 5y = (-18 + 6y) Solving 35 + 5y = -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. 35 + 5y + -6y = -18 + 6y + -6y Combine like terms: 5y + -6y = -1y 35 + -1y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 35 + -1y = -18 + 0 35 + -1y = -18 Add '-35' to each side of the equation. 35 + -35 + -1y = -18 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = -18 + -35 -1y = -18 + -35 Combine like terms: -18 + -35 = -53 -1y = -53 Divide each side by '-1'. y = 53 Simplifying y = 53
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