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Simplifying 3(y + -6) + -8 = -5(-4y + 2) + -7y Reorder the terms: 3(-6 + y) + -8 = -5(-4y + 2) + -7y (-6 * 3 + y * 3) + -8 = -5(-4y + 2) + -7y (-18 + 3y) + -8 = -5(-4y + 2) + -7y Reorder the terms: -18 + -8 + 3y = -5(-4y + 2) + -7y Combine like terms: -18 + -8 = -26 -26 + 3y = -5(-4y + 2) + -7y Reorder the terms: -26 + 3y = -5(2 + -4y) + -7y -26 + 3y = (2 * -5 + -4y * -5) + -7y -26 + 3y = (-10 + 20y) + -7y Combine like terms: 20y + -7y = 13y -26 + 3y = -10 + 13y Solving -26 + 3y = -10 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -26 + 3y + -13y = -10 + 13y + -13y Combine like terms: 3y + -13y = -10y -26 + -10y = -10 + 13y + -13y Combine like terms: 13y + -13y = 0 -26 + -10y = -10 + 0 -26 + -10y = -10 Add '26' to each side of the equation. -26 + 26 + -10y = -10 + 26 Combine like terms: -26 + 26 = 0 0 + -10y = -10 + 26 -10y = -10 + 26 Combine like terms: -10 + 26 = 16 -10y = 16 Divide each side by '-10'. y = -1.6 Simplifying y = -1.6
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