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Simplifying -5(3y + -10) + -1y = -4(y + -5) Reorder the terms: -5(-10 + 3y) + -1y = -4(y + -5) (-10 * -5 + 3y * -5) + -1y = -4(y + -5) (50 + -15y) + -1y = -4(y + -5) Combine like terms: -15y + -1y = -16y 50 + -16y = -4(y + -5) Reorder the terms: 50 + -16y = -4(-5 + y) 50 + -16y = (-5 * -4 + y * -4) 50 + -16y = (20 + -4y) Solving 50 + -16y = 20 + -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. 50 + -16y + 4y = 20 + -4y + 4y Combine like terms: -16y + 4y = -12y 50 + -12y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 50 + -12y = 20 + 0 50 + -12y = 20 Add '-50' to each side of the equation. 50 + -50 + -12y = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -12y = 20 + -50 -12y = 20 + -50 Combine like terms: 20 + -50 = -30 -12y = -30 Divide each side by '-12'. y = 2.5 Simplifying y = 2.5
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