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Simplifying -3(2y + 3) + -13 = -4(y + 8) + 2y Reorder the terms: -3(3 + 2y) + -13 = -4(y + 8) + 2y (3 * -3 + 2y * -3) + -13 = -4(y + 8) + 2y (-9 + -6y) + -13 = -4(y + 8) + 2y Reorder the terms: -9 + -13 + -6y = -4(y + 8) + 2y Combine like terms: -9 + -13 = -22 -22 + -6y = -4(y + 8) + 2y Reorder the terms: -22 + -6y = -4(8 + y) + 2y -22 + -6y = (8 * -4 + y * -4) + 2y -22 + -6y = (-32 + -4y) + 2y Combine like terms: -4y + 2y = -2y -22 + -6y = -32 + -2y Solving -22 + -6y = -32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -22 + -6y + 2y = -32 + -2y + 2y Combine like terms: -6y + 2y = -4y -22 + -4y = -32 + -2y + 2y Combine like terms: -2y + 2y = 0 -22 + -4y = -32 + 0 -22 + -4y = -32 Add '22' to each side of the equation. -22 + 22 + -4y = -32 + 22 Combine like terms: -22 + 22 = 0 0 + -4y = -32 + 22 -4y = -32 + 22 Combine like terms: -32 + 22 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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