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Simplifying 2y + 5 = 3(4y + -5) Reorder the terms: 5 + 2y = 3(4y + -5) Reorder the terms: 5 + 2y = 3(-5 + 4y) 5 + 2y = (-5 * 3 + 4y * 3) 5 + 2y = (-15 + 12y) Solving 5 + 2y = -15 + 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. 5 + 2y + -12y = -15 + 12y + -12y Combine like terms: 2y + -12y = -10y 5 + -10y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + -10y = -15 + 0 5 + -10y = -15 Add '-5' to each side of the equation. 5 + -5 + -10y = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -10y = -15 + -5 -10y = -15 + -5 Combine like terms: -15 + -5 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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