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Simplifying -2y + 4(3y + -1) = 3 + 7(8 + -1y) Reorder the terms: -2y + 4(-1 + 3y) = 3 + 7(8 + -1y) -2y + (-1 * 4 + 3y * 4) = 3 + 7(8 + -1y) -2y + (-4 + 12y) = 3 + 7(8 + -1y) Reorder the terms: -4 + -2y + 12y = 3 + 7(8 + -1y) Combine like terms: -2y + 12y = 10y -4 + 10y = 3 + 7(8 + -1y) -4 + 10y = 3 + (8 * 7 + -1y * 7) -4 + 10y = 3 + (56 + -7y) Combine like terms: 3 + 56 = 59 -4 + 10y = 59 + -7y Solving -4 + 10y = 59 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -4 + 10y + 7y = 59 + -7y + 7y Combine like terms: 10y + 7y = 17y -4 + 17y = 59 + -7y + 7y Combine like terms: -7y + 7y = 0 -4 + 17y = 59 + 0 -4 + 17y = 59 Add '4' to each side of the equation. -4 + 4 + 17y = 59 + 4 Combine like terms: -4 + 4 = 0 0 + 17y = 59 + 4 17y = 59 + 4 Combine like terms: 59 + 4 = 63 17y = 63 Divide each side by '17'. y = 3.705882353 Simplifying y = 3.705882353
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