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Simplifying 3(y + -3) + -2 = -2(-7y + 8) + -1y Reorder the terms: 3(-3 + y) + -2 = -2(-7y + 8) + -1y (-3 * 3 + y * 3) + -2 = -2(-7y + 8) + -1y (-9 + 3y) + -2 = -2(-7y + 8) + -1y Reorder the terms: -9 + -2 + 3y = -2(-7y + 8) + -1y Combine like terms: -9 + -2 = -11 -11 + 3y = -2(-7y + 8) + -1y Reorder the terms: -11 + 3y = -2(8 + -7y) + -1y -11 + 3y = (8 * -2 + -7y * -2) + -1y -11 + 3y = (-16 + 14y) + -1y Combine like terms: 14y + -1y = 13y -11 + 3y = -16 + 13y Solving -11 + 3y = -16 + 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. -11 + 3y + -13y = -16 + 13y + -13y Combine like terms: 3y + -13y = -10y -11 + -10y = -16 + 13y + -13y Combine like terms: 13y + -13y = 0 -11 + -10y = -16 + 0 -11 + -10y = -16 Add '11' to each side of the equation. -11 + 11 + -10y = -16 + 11 Combine like terms: -11 + 11 = 0 0 + -10y = -16 + 11 -10y = -16 + 11 Combine like terms: -16 + 11 = -5 -10y = -5 Divide each side by '-10'. y = 0.5 Simplifying y = 0.5
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