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Simplifying 7(y + -4) + -8 = -7(-4y + 4) + -9y Reorder the terms: 7(-4 + y) + -8 = -7(-4y + 4) + -9y (-4 * 7 + y * 7) + -8 = -7(-4y + 4) + -9y (-28 + 7y) + -8 = -7(-4y + 4) + -9y Reorder the terms: -28 + -8 + 7y = -7(-4y + 4) + -9y Combine like terms: -28 + -8 = -36 -36 + 7y = -7(-4y + 4) + -9y Reorder the terms: -36 + 7y = -7(4 + -4y) + -9y -36 + 7y = (4 * -7 + -4y * -7) + -9y -36 + 7y = (-28 + 28y) + -9y Combine like terms: 28y + -9y = 19y -36 + 7y = -28 + 19y Solving -36 + 7y = -28 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -36 + 7y + -19y = -28 + 19y + -19y Combine like terms: 7y + -19y = -12y -36 + -12y = -28 + 19y + -19y Combine like terms: 19y + -19y = 0 -36 + -12y = -28 + 0 -36 + -12y = -28 Add '36' to each side of the equation. -36 + 36 + -12y = -28 + 36 Combine like terms: -36 + 36 = 0 0 + -12y = -28 + 36 -12y = -28 + 36 Combine like terms: -28 + 36 = 8 -12y = 8 Divide each side by '-12'. y = -0.6666666667 Simplifying y = -0.6666666667
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