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Simplifying -3(2y + -5) + -10y = 6y + -2(5y + -4) Reorder the terms: -3(-5 + 2y) + -10y = 6y + -2(5y + -4) (-5 * -3 + 2y * -3) + -10y = 6y + -2(5y + -4) (15 + -6y) + -10y = 6y + -2(5y + -4) Combine like terms: -6y + -10y = -16y 15 + -16y = 6y + -2(5y + -4) Reorder the terms: 15 + -16y = 6y + -2(-4 + 5y) 15 + -16y = 6y + (-4 * -2 + 5y * -2) 15 + -16y = 6y + (8 + -10y) Reorder the terms: 15 + -16y = 8 + 6y + -10y Combine like terms: 6y + -10y = -4y 15 + -16y = 8 + -4y Solving 15 + -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. 15 + -16y + 4y = 8 + -4y + 4y Combine like terms: -16y + 4y = -12y 15 + -12y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + -12y = 8 + 0 15 + -12y = 8 Add '-15' to each side of the equation. 15 + -15 + -12y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -12y = 8 + -15 -12y = 8 + -15 Combine like terms: 8 + -15 = -7 -12y = -7 Divide each side by '-12'. y = 0.5833333333 Simplifying y = 0.5833333333
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