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Simplifying 7(y + -1) + -2 = -3(-9y + 7) + -4y Reorder the terms: 7(-1 + y) + -2 = -3(-9y + 7) + -4y (-1 * 7 + y * 7) + -2 = -3(-9y + 7) + -4y (-7 + 7y) + -2 = -3(-9y + 7) + -4y Reorder the terms: -7 + -2 + 7y = -3(-9y + 7) + -4y Combine like terms: -7 + -2 = -9 -9 + 7y = -3(-9y + 7) + -4y Reorder the terms: -9 + 7y = -3(7 + -9y) + -4y -9 + 7y = (7 * -3 + -9y * -3) + -4y -9 + 7y = (-21 + 27y) + -4y Combine like terms: 27y + -4y = 23y -9 + 7y = -21 + 23y Solving -9 + 7y = -21 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. -9 + 7y + -23y = -21 + 23y + -23y Combine like terms: 7y + -23y = -16y -9 + -16y = -21 + 23y + -23y Combine like terms: 23y + -23y = 0 -9 + -16y = -21 + 0 -9 + -16y = -21 Add '9' to each side of the equation. -9 + 9 + -16y = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -16y = -21 + 9 -16y = -21 + 9 Combine like terms: -21 + 9 = -12 -16y = -12 Divide each side by '-16'. y = 0.75 Simplifying y = 0.75
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