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Simplifying -52 + -8y = 8 + 4(4y + -2) Reorder the terms: -52 + -8y = 8 + 4(-2 + 4y) -52 + -8y = 8 + (-2 * 4 + 4y * 4) -52 + -8y = 8 + (-8 + 16y) Combine like terms: 8 + -8 = 0 -52 + -8y = 0 + 16y -52 + -8y = 16y Solving -52 + -8y = 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -52 + -8y + -16y = 16y + -16y Combine like terms: -8y + -16y = -24y -52 + -24y = 16y + -16y Combine like terms: 16y + -16y = 0 -52 + -24y = 0 Add '52' to each side of the equation. -52 + 52 + -24y = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -24y = 0 + 52 -24y = 0 + 52 Combine like terms: 0 + 52 = 52 -24y = 52 Divide each side by '-24'. y = -2.166666667 Simplifying y = -2.166666667
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