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Simplifying -3(6y + -10) + -1y = -3(y + -3) Reorder the terms: -3(-10 + 6y) + -1y = -3(y + -3) (-10 * -3 + 6y * -3) + -1y = -3(y + -3) (30 + -18y) + -1y = -3(y + -3) Combine like terms: -18y + -1y = -19y 30 + -19y = -3(y + -3) Reorder the terms: 30 + -19y = -3(-3 + y) 30 + -19y = (-3 * -3 + y * -3) 30 + -19y = (9 + -3y) Solving 30 + -19y = 9 + -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 + -19y + 3y = 9 + -3y + 3y Combine like terms: -19y + 3y = -16y 30 + -16y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + -16y = 9 + 0 30 + -16y = 9 Add '-30' to each side of the equation. 30 + -30 + -16y = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -16y = 9 + -30 -16y = 9 + -30 Combine like terms: 9 + -30 = -21 -16y = -21 Divide each side by '-16'. y = 1.3125 Simplifying y = 1.3125
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