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Simplifying 3(5y + -5) + -10 = 6(2y + -1) + 11 Reorder the terms: 3(-5 + 5y) + -10 = 6(2y + -1) + 11 (-5 * 3 + 5y * 3) + -10 = 6(2y + -1) + 11 (-15 + 15y) + -10 = 6(2y + -1) + 11 Reorder the terms: -15 + -10 + 15y = 6(2y + -1) + 11 Combine like terms: -15 + -10 = -25 -25 + 15y = 6(2y + -1) + 11 Reorder the terms: -25 + 15y = 6(-1 + 2y) + 11 -25 + 15y = (-1 * 6 + 2y * 6) + 11 -25 + 15y = (-6 + 12y) + 11 Reorder the terms: -25 + 15y = -6 + 11 + 12y Combine like terms: -6 + 11 = 5 -25 + 15y = 5 + 12y Solving -25 + 15y = 5 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -25 + 15y + -12y = 5 + 12y + -12y Combine like terms: 15y + -12y = 3y -25 + 3y = 5 + 12y + -12y Combine like terms: 12y + -12y = 0 -25 + 3y = 5 + 0 -25 + 3y = 5 Add '25' to each side of the equation. -25 + 25 + 3y = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 3y = 5 + 25 3y = 5 + 25 Combine like terms: 5 + 25 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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