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Simplifying -3(4y + -10) + -1y = -4(y + -4) Reorder the terms: -3(-10 + 4y) + -1y = -4(y + -4) (-10 * -3 + 4y * -3) + -1y = -4(y + -4) (30 + -12y) + -1y = -4(y + -4) Combine like terms: -12y + -1y = -13y 30 + -13y = -4(y + -4) Reorder the terms: 30 + -13y = -4(-4 + y) 30 + -13y = (-4 * -4 + y * -4) 30 + -13y = (16 + -4y) Solving 30 + -13y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + -13y + 4y = 16 + -4y + 4y Combine like terms: -13y + 4y = -9y 30 + -9y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + -9y = 16 + 0 30 + -9y = 16 Add '-30' to each side of the equation. 30 + -30 + -9y = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -9y = 16 + -30 -9y = 16 + -30 Combine like terms: 16 + -30 = -14 -9y = -14 Divide each side by '-9'. y = 1.555555556 Simplifying y = 1.555555556
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