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Simplifying -5(4y + 1) + -15 = -8(y + 6) + 4y Reorder the terms: -5(1 + 4y) + -15 = -8(y + 6) + 4y (1 * -5 + 4y * -5) + -15 = -8(y + 6) + 4y (-5 + -20y) + -15 = -8(y + 6) + 4y Reorder the terms: -5 + -15 + -20y = -8(y + 6) + 4y Combine like terms: -5 + -15 = -20 -20 + -20y = -8(y + 6) + 4y Reorder the terms: -20 + -20y = -8(6 + y) + 4y -20 + -20y = (6 * -8 + y * -8) + 4y -20 + -20y = (-48 + -8y) + 4y Combine like terms: -8y + 4y = -4y -20 + -20y = -48 + -4y Solving -20 + -20y = -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. -20 + -20y + 4y = -48 + -4y + 4y Combine like terms: -20y + 4y = -16y -20 + -16y = -48 + -4y + 4y Combine like terms: -4y + 4y = 0 -20 + -16y = -48 + 0 -20 + -16y = -48 Add '20' to each side of the equation. -20 + 20 + -16y = -48 + 20 Combine like terms: -20 + 20 = 0 0 + -16y = -48 + 20 -16y = -48 + 20 Combine like terms: -48 + 20 = -28 -16y = -28 Divide each side by '-16'. y = 1.75 Simplifying y = 1.75
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