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Simplifying -3(6y + -5) + -1y = -3(y + -2) Reorder the terms: -3(-5 + 6y) + -1y = -3(y + -2) (-5 * -3 + 6y * -3) + -1y = -3(y + -2) (15 + -18y) + -1y = -3(y + -2) Combine like terms: -18y + -1y = -19y 15 + -19y = -3(y + -2) Reorder the terms: 15 + -19y = -3(-2 + y) 15 + -19y = (-2 * -3 + y * -3) 15 + -19y = (6 + -3y) Solving 15 + -19y = 6 + -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. 15 + -19y + 3y = 6 + -3y + 3y Combine like terms: -19y + 3y = -16y 15 + -16y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + -16y = 6 + 0 15 + -16y = 6 Add '-15' to each side of the equation. 15 + -15 + -16y = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -16y = 6 + -15 -16y = 6 + -15 Combine like terms: 6 + -15 = -9 -16y = -9 Divide each side by '-16'. y = 0.5625 Simplifying y = 0.5625
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