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Simplifying 4(3y + -5) = 8 + 2(7y + 1) Reorder the terms: 4(-5 + 3y) = 8 + 2(7y + 1) (-5 * 4 + 3y * 4) = 8 + 2(7y + 1) (-20 + 12y) = 8 + 2(7y + 1) Reorder the terms: -20 + 12y = 8 + 2(1 + 7y) -20 + 12y = 8 + (1 * 2 + 7y * 2) -20 + 12y = 8 + (2 + 14y) Combine like terms: 8 + 2 = 10 -20 + 12y = 10 + 14y Solving -20 + 12y = 10 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -20 + 12y + -14y = 10 + 14y + -14y Combine like terms: 12y + -14y = -2y -20 + -2y = 10 + 14y + -14y Combine like terms: 14y + -14y = 0 -20 + -2y = 10 + 0 -20 + -2y = 10 Add '20' to each side of the equation. -20 + 20 + -2y = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = 10 + 20 -2y = 10 + 20 Combine like terms: 10 + 20 = 30 -2y = 30 Divide each side by '-2'. y = -15 Simplifying y = -15
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