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Simplifying -5 + (y + -4) = 7(-2y + 6) + -3 Reorder the terms: -5 + (-4 + y) = 7(-2y + 6) + -3 Remove parenthesis around (-4 + y) -5 + -4 + y = 7(-2y + 6) + -3 Combine like terms: -5 + -4 = -9 -9 + y = 7(-2y + 6) + -3 Reorder the terms: -9 + y = 7(6 + -2y) + -3 -9 + y = (6 * 7 + -2y * 7) + -3 -9 + y = (42 + -14y) + -3 Reorder the terms: -9 + y = 42 + -3 + -14y Combine like terms: 42 + -3 = 39 -9 + y = 39 + -14y Solving -9 + y = 39 + -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. -9 + y + 14y = 39 + -14y + 14y Combine like terms: y + 14y = 15y -9 + 15y = 39 + -14y + 14y Combine like terms: -14y + 14y = 0 -9 + 15y = 39 + 0 -9 + 15y = 39 Add '9' to each side of the equation. -9 + 9 + 15y = 39 + 9 Combine like terms: -9 + 9 = 0 0 + 15y = 39 + 9 15y = 39 + 9 Combine like terms: 39 + 9 = 48 15y = 48 Divide each side by '15'. y = 3.2 Simplifying y = 3.2
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