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Simplifying 7(y + -7) = 10(2y + -4) Reorder the terms: 7(-7 + y) = 10(2y + -4) (-7 * 7 + y * 7) = 10(2y + -4) (-49 + 7y) = 10(2y + -4) Reorder the terms: -49 + 7y = 10(-4 + 2y) -49 + 7y = (-4 * 10 + 2y * 10) -49 + 7y = (-40 + 20y) Solving -49 + 7y = -40 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -49 + 7y + -20y = -40 + 20y + -20y Combine like terms: 7y + -20y = -13y -49 + -13y = -40 + 20y + -20y Combine like terms: 20y + -20y = 0 -49 + -13y = -40 + 0 -49 + -13y = -40 Add '49' to each side of the equation. -49 + 49 + -13y = -40 + 49 Combine like terms: -49 + 49 = 0 0 + -13y = -40 + 49 -13y = -40 + 49 Combine like terms: -40 + 49 = 9 -13y = 9 Divide each side by '-13'. y = -0.6923076923 Simplifying y = -0.6923076923
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