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Simplifying 3(y + -3) + -1(5y + -2) = 4(3y + -3) + -9 Reorder the terms: 3(-3 + y) + -1(5y + -2) = 4(3y + -3) + -9 (-3 * 3 + y * 3) + -1(5y + -2) = 4(3y + -3) + -9 (-9 + 3y) + -1(5y + -2) = 4(3y + -3) + -9 Reorder the terms: -9 + 3y + -1(-2 + 5y) = 4(3y + -3) + -9 -9 + 3y + (-2 * -1 + 5y * -1) = 4(3y + -3) + -9 -9 + 3y + (2 + -5y) = 4(3y + -3) + -9 Reorder the terms: -9 + 2 + 3y + -5y = 4(3y + -3) + -9 Combine like terms: -9 + 2 = -7 -7 + 3y + -5y = 4(3y + -3) + -9 Combine like terms: 3y + -5y = -2y -7 + -2y = 4(3y + -3) + -9 Reorder the terms: -7 + -2y = 4(-3 + 3y) + -9 -7 + -2y = (-3 * 4 + 3y * 4) + -9 -7 + -2y = (-12 + 12y) + -9 Reorder the terms: -7 + -2y = -12 + -9 + 12y Combine like terms: -12 + -9 = -21 -7 + -2y = -21 + 12y Solving -7 + -2y = -21 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -7 + -2y + -12y = -21 + 12y + -12y Combine like terms: -2y + -12y = -14y -7 + -14y = -21 + 12y + -12y Combine like terms: 12y + -12y = 0 -7 + -14y = -21 + 0 -7 + -14y = -21 Add '7' to each side of the equation. -7 + 7 + -14y = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -14y = -21 + 7 -14y = -21 + 7 Combine like terms: -21 + 7 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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