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Simplifying -2y + 3(4y + 1) = 3(5y + -2) + -1 Reorder the terms: -2y + 3(1 + 4y) = 3(5y + -2) + -1 -2y + (1 * 3 + 4y * 3) = 3(5y + -2) + -1 -2y + (3 + 12y) = 3(5y + -2) + -1 Reorder the terms: 3 + -2y + 12y = 3(5y + -2) + -1 Combine like terms: -2y + 12y = 10y 3 + 10y = 3(5y + -2) + -1 Reorder the terms: 3 + 10y = 3(-2 + 5y) + -1 3 + 10y = (-2 * 3 + 5y * 3) + -1 3 + 10y = (-6 + 15y) + -1 Reorder the terms: 3 + 10y = -6 + -1 + 15y Combine like terms: -6 + -1 = -7 3 + 10y = -7 + 15y Solving 3 + 10y = -7 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 3 + 10y + -15y = -7 + 15y + -15y Combine like terms: 10y + -15y = -5y 3 + -5y = -7 + 15y + -15y Combine like terms: 15y + -15y = 0 3 + -5y = -7 + 0 3 + -5y = -7 Add '-3' to each side of the equation. 3 + -3 + -5y = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = -7 + -3 -5y = -7 + -3 Combine like terms: -7 + -3 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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