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Simplifying -5(3 + 2y) + 7 = -6 + -1(5y + -11) (3 * -5 + 2y * -5) + 7 = -6 + -1(5y + -11) (-15 + -10y) + 7 = -6 + -1(5y + -11) Reorder the terms: -15 + 7 + -10y = -6 + -1(5y + -11) Combine like terms: -15 + 7 = -8 -8 + -10y = -6 + -1(5y + -11) Reorder the terms: -8 + -10y = -6 + -1(-11 + 5y) -8 + -10y = -6 + (-11 * -1 + 5y * -1) -8 + -10y = -6 + (11 + -5y) Combine like terms: -6 + 11 = 5 -8 + -10y = 5 + -5y Solving -8 + -10y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -8 + -10y + 5y = 5 + -5y + 5y Combine like terms: -10y + 5y = -5y -8 + -5y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 -8 + -5y = 5 + 0 -8 + -5y = 5 Add '8' to each side of the equation. -8 + 8 + -5y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = 5 + 8 -5y = 5 + 8 Combine like terms: 5 + 8 = 13 -5y = 13 Divide each side by '-5'. y = -2.6 Simplifying y = -2.6
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