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Simplifying 3(y + -6) + -2 = -2(-7y + 9) + -1y Reorder the terms: 3(-6 + y) + -2 = -2(-7y + 9) + -1y (-6 * 3 + y * 3) + -2 = -2(-7y + 9) + -1y (-18 + 3y) + -2 = -2(-7y + 9) + -1y Reorder the terms: -18 + -2 + 3y = -2(-7y + 9) + -1y Combine like terms: -18 + -2 = -20 -20 + 3y = -2(-7y + 9) + -1y Reorder the terms: -20 + 3y = -2(9 + -7y) + -1y -20 + 3y = (9 * -2 + -7y * -2) + -1y -20 + 3y = (-18 + 14y) + -1y Combine like terms: 14y + -1y = 13y -20 + 3y = -18 + 13y Solving -20 + 3y = -18 + 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. -20 + 3y + -13y = -18 + 13y + -13y Combine like terms: 3y + -13y = -10y -20 + -10y = -18 + 13y + -13y Combine like terms: 13y + -13y = 0 -20 + -10y = -18 + 0 -20 + -10y = -18 Add '20' to each side of the equation. -20 + 20 + -10y = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -10y = -18 + 20 -10y = -18 + 20 Combine like terms: -18 + 20 = 2 -10y = 2 Divide each side by '-10'. y = -0.2 Simplifying y = -0.2
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