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Simplifying -7(-2y + 4) + -1y = 4(y + -3) + -1 Reorder the terms: -7(4 + -2y) + -1y = 4(y + -3) + -1 (4 * -7 + -2y * -7) + -1y = 4(y + -3) + -1 (-28 + 14y) + -1y = 4(y + -3) + -1 Combine like terms: 14y + -1y = 13y -28 + 13y = 4(y + -3) + -1 Reorder the terms: -28 + 13y = 4(-3 + y) + -1 -28 + 13y = (-3 * 4 + y * 4) + -1 -28 + 13y = (-12 + 4y) + -1 Reorder the terms: -28 + 13y = -12 + -1 + 4y Combine like terms: -12 + -1 = -13 -28 + 13y = -13 + 4y Solving -28 + 13y = -13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -28 + 13y + -4y = -13 + 4y + -4y Combine like terms: 13y + -4y = 9y -28 + 9y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 -28 + 9y = -13 + 0 -28 + 9y = -13 Add '28' to each side of the equation. -28 + 28 + 9y = -13 + 28 Combine like terms: -28 + 28 = 0 0 + 9y = -13 + 28 9y = -13 + 28 Combine like terms: -13 + 28 = 15 9y = 15 Divide each side by '9'. y = 1.666666667 Simplifying y = 1.666666667
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