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Simplifying 5(6 + -2y) = 3(y + 1) (6 * 5 + -2y * 5) = 3(y + 1) (30 + -10y) = 3(y + 1) Reorder the terms: 30 + -10y = 3(1 + y) 30 + -10y = (1 * 3 + y * 3) 30 + -10y = (3 + 3y) Solving 30 + -10y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 30 + -10y + -3y = 3 + 3y + -3y Combine like terms: -10y + -3y = -13y 30 + -13y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + -13y = 3 + 0 30 + -13y = 3 Add '-30' to each side of the equation. 30 + -30 + -13y = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -13y = 3 + -30 -13y = 3 + -30 Combine like terms: 3 + -30 = -27 -13y = -27 Divide each side by '-13'. y = 2.076923077 Simplifying y = 2.076923077
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