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Simplifying -49 + 7y + 6 = 2(5y + -4) + -8 Reorder the terms: -49 + 6 + 7y = 2(5y + -4) + -8 Combine like terms: -49 + 6 = -43 -43 + 7y = 2(5y + -4) + -8 Reorder the terms: -43 + 7y = 2(-4 + 5y) + -8 -43 + 7y = (-4 * 2 + 5y * 2) + -8 -43 + 7y = (-8 + 10y) + -8 Reorder the terms: -43 + 7y = -8 + -8 + 10y Combine like terms: -8 + -8 = -16 -43 + 7y = -16 + 10y Solving -43 + 7y = -16 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -43 + 7y + -10y = -16 + 10y + -10y Combine like terms: 7y + -10y = -3y -43 + -3y = -16 + 10y + -10y Combine like terms: 10y + -10y = 0 -43 + -3y = -16 + 0 -43 + -3y = -16 Add '43' to each side of the equation. -43 + 43 + -3y = -16 + 43 Combine like terms: -43 + 43 = 0 0 + -3y = -16 + 43 -3y = -16 + 43 Combine like terms: -16 + 43 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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