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Simplifying -7(y + 3) + 3(4y + -7) = 4(y + -3) + 9 Reorder the terms: -7(3 + y) + 3(4y + -7) = 4(y + -3) + 9 (3 * -7 + y * -7) + 3(4y + -7) = 4(y + -3) + 9 (-21 + -7y) + 3(4y + -7) = 4(y + -3) + 9 Reorder the terms: -21 + -7y + 3(-7 + 4y) = 4(y + -3) + 9 -21 + -7y + (-7 * 3 + 4y * 3) = 4(y + -3) + 9 -21 + -7y + (-21 + 12y) = 4(y + -3) + 9 Reorder the terms: -21 + -21 + -7y + 12y = 4(y + -3) + 9 Combine like terms: -21 + -21 = -42 -42 + -7y + 12y = 4(y + -3) + 9 Combine like terms: -7y + 12y = 5y -42 + 5y = 4(y + -3) + 9 Reorder the terms: -42 + 5y = 4(-3 + y) + 9 -42 + 5y = (-3 * 4 + y * 4) + 9 -42 + 5y = (-12 + 4y) + 9 Reorder the terms: -42 + 5y = -12 + 9 + 4y Combine like terms: -12 + 9 = -3 -42 + 5y = -3 + 4y Solving -42 + 5y = -3 + 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. -42 + 5y + -4y = -3 + 4y + -4y Combine like terms: 5y + -4y = 1y -42 + 1y = -3 + 4y + -4y Combine like terms: 4y + -4y = 0 -42 + 1y = -3 + 0 -42 + 1y = -3 Add '42' to each side of the equation. -42 + 42 + 1y = -3 + 42 Combine like terms: -42 + 42 = 0 0 + 1y = -3 + 42 1y = -3 + 42 Combine like terms: -3 + 42 = 39 1y = 39 Divide each side by '1'. y = 39 Simplifying y = 39
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