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Simplifying -3(4y + 1) + -2y = 6y + 10 Reorder the terms: -3(1 + 4y) + -2y = 6y + 10 (1 * -3 + 4y * -3) + -2y = 6y + 10 (-3 + -12y) + -2y = 6y + 10 Combine like terms: -12y + -2y = -14y -3 + -14y = 6y + 10 Reorder the terms: -3 + -14y = 10 + 6y Solving -3 + -14y = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -3 + -14y + -6y = 10 + 6y + -6y Combine like terms: -14y + -6y = -20y -3 + -20y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -20y = 10 + 0 -3 + -20y = 10 Add '3' to each side of the equation. -3 + 3 + -20y = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -20y = 10 + 3 -20y = 10 + 3 Combine like terms: 10 + 3 = 13 -20y = 13 Divide each side by '-20'. y = -0.65 Simplifying y = -0.65
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