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Simplifying 2(3y + 1) = 7(2y + 5) Reorder the terms: 2(1 + 3y) = 7(2y + 5) (1 * 2 + 3y * 2) = 7(2y + 5) (2 + 6y) = 7(2y + 5) Reorder the terms: 2 + 6y = 7(5 + 2y) 2 + 6y = (5 * 7 + 2y * 7) 2 + 6y = (35 + 14y) Solving 2 + 6y = 35 + 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. 2 + 6y + -14y = 35 + 14y + -14y Combine like terms: 6y + -14y = -8y 2 + -8y = 35 + 14y + -14y Combine like terms: 14y + -14y = 0 2 + -8y = 35 + 0 2 + -8y = 35 Add '-2' to each side of the equation. 2 + -2 + -8y = 35 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = 35 + -2 -8y = 35 + -2 Combine like terms: 35 + -2 = 33 -8y = 33 Divide each side by '-8'. y = -4.125 Simplifying y = -4.125
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