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Simplifying -7(y + 1) + 4(3y + -3) = 4(y + -6) + 9 Reorder the terms: -7(1 + y) + 4(3y + -3) = 4(y + -6) + 9 (1 * -7 + y * -7) + 4(3y + -3) = 4(y + -6) + 9 (-7 + -7y) + 4(3y + -3) = 4(y + -6) + 9 Reorder the terms: -7 + -7y + 4(-3 + 3y) = 4(y + -6) + 9 -7 + -7y + (-3 * 4 + 3y * 4) = 4(y + -6) + 9 -7 + -7y + (-12 + 12y) = 4(y + -6) + 9 Reorder the terms: -7 + -12 + -7y + 12y = 4(y + -6) + 9 Combine like terms: -7 + -12 = -19 -19 + -7y + 12y = 4(y + -6) + 9 Combine like terms: -7y + 12y = 5y -19 + 5y = 4(y + -6) + 9 Reorder the terms: -19 + 5y = 4(-6 + y) + 9 -19 + 5y = (-6 * 4 + y * 4) + 9 -19 + 5y = (-24 + 4y) + 9 Reorder the terms: -19 + 5y = -24 + 9 + 4y Combine like terms: -24 + 9 = -15 -19 + 5y = -15 + 4y Solving -19 + 5y = -15 + 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. -19 + 5y + -4y = -15 + 4y + -4y Combine like terms: 5y + -4y = 1y -19 + 1y = -15 + 4y + -4y Combine like terms: 4y + -4y = 0 -19 + 1y = -15 + 0 -19 + 1y = -15 Add '19' to each side of the equation. -19 + 19 + 1y = -15 + 19 Combine like terms: -19 + 19 = 0 0 + 1y = -15 + 19 1y = -15 + 19 Combine like terms: -15 + 19 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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