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Simplifying 5 + 2(7y + -6) = -3(2y + -3) + 6y Reorder the terms: 5 + 2(-6 + 7y) = -3(2y + -3) + 6y 5 + (-6 * 2 + 7y * 2) = -3(2y + -3) + 6y 5 + (-12 + 14y) = -3(2y + -3) + 6y Combine like terms: 5 + -12 = -7 -7 + 14y = -3(2y + -3) + 6y Reorder the terms: -7 + 14y = -3(-3 + 2y) + 6y -7 + 14y = (-3 * -3 + 2y * -3) + 6y -7 + 14y = (9 + -6y) + 6y Combine like terms: -6y + 6y = 0 -7 + 14y = 9 + 0 -7 + 14y = 9 Solving -7 + 14y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 14y = 9 + 7 14y = 9 + 7 Combine like terms: 9 + 7 = 16 14y = 16 Divide each side by '14'. y = 1.142857143 Simplifying y = 1.142857143
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