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Simplifying 6(5 + -3y) = 4(35 + 3y) (5 * 6 + -3y * 6) = 4(35 + 3y) (30 + -18y) = 4(35 + 3y) 30 + -18y = (35 * 4 + 3y * 4) 30 + -18y = (140 + 12y) Solving 30 + -18y = 140 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 30 + -18y + -12y = 140 + 12y + -12y Combine like terms: -18y + -12y = -30y 30 + -30y = 140 + 12y + -12y Combine like terms: 12y + -12y = 0 30 + -30y = 140 + 0 30 + -30y = 140 Add '-30' to each side of the equation. 30 + -30 + -30y = 140 + -30 Combine like terms: 30 + -30 = 0 0 + -30y = 140 + -30 -30y = 140 + -30 Combine like terms: 140 + -30 = 110 -30y = 110 Divide each side by '-30'. y = -3.666666667 Simplifying y = -3.666666667
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