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Simplifying 3(4y + -5) = 10y + 3 Reorder the terms: 3(-5 + 4y) = 10y + 3 (-5 * 3 + 4y * 3) = 10y + 3 (-15 + 12y) = 10y + 3 Reorder the terms: -15 + 12y = 3 + 10y Solving -15 + 12y = 3 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -15 + 12y + -10y = 3 + 10y + -10y Combine like terms: 12y + -10y = 2y -15 + 2y = 3 + 10y + -10y Combine like terms: 10y + -10y = 0 -15 + 2y = 3 + 0 -15 + 2y = 3 Add '15' to each side of the equation. -15 + 15 + 2y = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 3 + 15 2y = 3 + 15 Combine like terms: 3 + 15 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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