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Simplifying -6y + -1(-15y) + (-14y) + -17y + -1(-20y) + -1(-19) = -15 Remove parenthesis around (-15y) -6y + -1 * -15y + (-14y) + -17y + -1(-20y) + -1(-19) = -15 Multiply -1 * -15 -6y + 15y + (-14y) + -17y + -1(-20y) + -1(-19) = -15 Remove parenthesis around (-20y) -6y + 15y + (-14y) + -17y + -1 * -20y + -1(-19) = -15 Multiply -1 * -20 -6y + 15y + (-14y) + -17y + 20y + -1(-19) = -15 Multiply -1 * -19 -6y + 15y + (-14y) + -17y + 20y + 19 = -15 Reorder the terms: 19 + -6y + 15y + (-14y) + -17y + 20y = -15 Combine like terms: -6y + 15y = 9y 19 + 9y + (-14y) + -17y + 20y = -15 Combine like terms: 9y + (-14y) = -5y 19 + -5y + -17y + 20y = -15 Combine like terms: -5y + -17y = -22y 19 + -22y + 20y = -15 Combine like terms: -22y + 20y = -2y 19 + -2y = -15 Solving 19 + -2y = -15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2y = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -2y = -15 + -19 -2y = -15 + -19 Combine like terms: -15 + -19 = -34 -2y = -34 Divide each side by '-2'. y = 17 Simplifying y = 17
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