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Simplifying 3 + -1(4y + -7) = (2y + 3) Reorder the terms: 3 + -1(-7 + 4y) = (2y + 3) 3 + (-7 * -1 + 4y * -1) = (2y + 3) 3 + (7 + -4y) = (2y + 3) Combine like terms: 3 + 7 = 10 10 + -4y = (2y + 3) Reorder the terms: 10 + -4y = (3 + 2y) Remove parenthesis around (3 + 2y) 10 + -4y = 3 + 2y Solving 10 + -4y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 10 + -4y + -2y = 3 + 2y + -2y Combine like terms: -4y + -2y = -6y 10 + -6y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -6y = 3 + 0 10 + -6y = 3 Add '-10' to each side of the equation. 10 + -10 + -6y = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -6y = 3 + -10 -6y = 3 + -10 Combine like terms: 3 + -10 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667
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