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Simplifying -5(3y + -6) + -1y = -4(y + -5) Reorder the terms: -5(-6 + 3y) + -1y = -4(y + -5) (-6 * -5 + 3y * -5) + -1y = -4(y + -5) (30 + -15y) + -1y = -4(y + -5) Combine like terms: -15y + -1y = -16y 30 + -16y = -4(y + -5) Reorder the terms: 30 + -16y = -4(-5 + y) 30 + -16y = (-5 * -4 + y * -4) 30 + -16y = (20 + -4y) Solving 30 + -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. 30 + -16y + 4y = 20 + -4y + 4y Combine like terms: -16y + 4y = -12y 30 + -12y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + -12y = 20 + 0 30 + -12y = 20 Add '-30' to each side of the equation. 30 + -30 + -12y = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -12y = 20 + -30 -12y = 20 + -30 Combine like terms: 20 + -30 = -10 -12y = -10 Divide each side by '-12'. y = 0.8333333333 Simplifying y = 0.8333333333
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