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Simplifying -4(2y + 5) + -18 = -6(y + 8) + 2y Reorder the terms: -4(5 + 2y) + -18 = -6(y + 8) + 2y (5 * -4 + 2y * -4) + -18 = -6(y + 8) + 2y (-20 + -8y) + -18 = -6(y + 8) + 2y Reorder the terms: -20 + -18 + -8y = -6(y + 8) + 2y Combine like terms: -20 + -18 = -38 -38 + -8y = -6(y + 8) + 2y Reorder the terms: -38 + -8y = -6(8 + y) + 2y -38 + -8y = (8 * -6 + y * -6) + 2y -38 + -8y = (-48 + -6y) + 2y Combine like terms: -6y + 2y = -4y -38 + -8y = -48 + -4y Solving -38 + -8y = -48 + -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. -38 + -8y + 4y = -48 + -4y + 4y Combine like terms: -8y + 4y = -4y -38 + -4y = -48 + -4y + 4y Combine like terms: -4y + 4y = 0 -38 + -4y = -48 + 0 -38 + -4y = -48 Add '38' to each side of the equation. -38 + 38 + -4y = -48 + 38 Combine like terms: -38 + 38 = 0 0 + -4y = -48 + 38 -4y = -48 + 38 Combine like terms: -48 + 38 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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