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Simplifying -3(5y + -10) + -1y = -4(y + -2) Reorder the terms: -3(-10 + 5y) + -1y = -4(y + -2) (-10 * -3 + 5y * -3) + -1y = -4(y + -2) (30 + -15y) + -1y = -4(y + -2) Combine like terms: -15y + -1y = -16y 30 + -16y = -4(y + -2) Reorder the terms: 30 + -16y = -4(-2 + y) 30 + -16y = (-2 * -4 + y * -4) 30 + -16y = (8 + -4y) Solving 30 + -16y = 8 + -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 + -16y + 4y = 8 + -4y + 4y Combine like terms: -16y + 4y = -12y 30 + -12y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + -12y = 8 + 0 30 + -12y = 8 Add '-30' to each side of the equation. 30 + -30 + -12y = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -12y = 8 + -30 -12y = 8 + -30 Combine like terms: 8 + -30 = -22 -12y = -22 Divide each side by '-12'. y = 1.833333333 Simplifying y = 1.833333333
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