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Simplifying 3(y + -4) + -8 = -4(-5y + 9) + -7y Reorder the terms: 3(-4 + y) + -8 = -4(-5y + 9) + -7y (-4 * 3 + y * 3) + -8 = -4(-5y + 9) + -7y (-12 + 3y) + -8 = -4(-5y + 9) + -7y Reorder the terms: -12 + -8 + 3y = -4(-5y + 9) + -7y Combine like terms: -12 + -8 = -20 -20 + 3y = -4(-5y + 9) + -7y Reorder the terms: -20 + 3y = -4(9 + -5y) + -7y -20 + 3y = (9 * -4 + -5y * -4) + -7y -20 + 3y = (-36 + 20y) + -7y Combine like terms: 20y + -7y = 13y -20 + 3y = -36 + 13y Solving -20 + 3y = -36 + 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 = -36 + 13y + -13y Combine like terms: 3y + -13y = -10y -20 + -10y = -36 + 13y + -13y Combine like terms: 13y + -13y = 0 -20 + -10y = -36 + 0 -20 + -10y = -36 Add '20' to each side of the equation. -20 + 20 + -10y = -36 + 20 Combine like terms: -20 + 20 = 0 0 + -10y = -36 + 20 -10y = -36 + 20 Combine like terms: -36 + 20 = -16 -10y = -16 Divide each side by '-10'. y = 1.6 Simplifying y = 1.6
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