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Simplifying -48 + 16y + 8 = 6(3y + -3) + -4 Reorder the terms: -48 + 8 + 16y = 6(3y + -3) + -4 Combine like terms: -48 + 8 = -40 -40 + 16y = 6(3y + -3) + -4 Reorder the terms: -40 + 16y = 6(-3 + 3y) + -4 -40 + 16y = (-3 * 6 + 3y * 6) + -4 -40 + 16y = (-18 + 18y) + -4 Reorder the terms: -40 + 16y = -18 + -4 + 18y Combine like terms: -18 + -4 = -22 -40 + 16y = -22 + 18y Solving -40 + 16y = -22 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -40 + 16y + -18y = -22 + 18y + -18y Combine like terms: 16y + -18y = -2y -40 + -2y = -22 + 18y + -18y Combine like terms: 18y + -18y = 0 -40 + -2y = -22 + 0 -40 + -2y = -22 Add '40' to each side of the equation. -40 + 40 + -2y = -22 + 40 Combine like terms: -40 + 40 = 0 0 + -2y = -22 + 40 -2y = -22 + 40 Combine like terms: -22 + 40 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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