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Simplifying 7(y + -7) + -7 = -6(-3y + 7) + -3y Reorder the terms: 7(-7 + y) + -7 = -6(-3y + 7) + -3y (-7 * 7 + y * 7) + -7 = -6(-3y + 7) + -3y (-49 + 7y) + -7 = -6(-3y + 7) + -3y Reorder the terms: -49 + -7 + 7y = -6(-3y + 7) + -3y Combine like terms: -49 + -7 = -56 -56 + 7y = -6(-3y + 7) + -3y Reorder the terms: -56 + 7y = -6(7 + -3y) + -3y -56 + 7y = (7 * -6 + -3y * -6) + -3y -56 + 7y = (-42 + 18y) + -3y Combine like terms: 18y + -3y = 15y -56 + 7y = -42 + 15y Solving -56 + 7y = -42 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -56 + 7y + -15y = -42 + 15y + -15y Combine like terms: 7y + -15y = -8y -56 + -8y = -42 + 15y + -15y Combine like terms: 15y + -15y = 0 -56 + -8y = -42 + 0 -56 + -8y = -42 Add '56' to each side of the equation. -56 + 56 + -8y = -42 + 56 Combine like terms: -56 + 56 = 0 0 + -8y = -42 + 56 -8y = -42 + 56 Combine like terms: -42 + 56 = 14 -8y = 14 Divide each side by '-8'. y = -1.75 Simplifying y = -1.75
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