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Simplifying -52 + -8y + 8 = 4(4y + -2) + -7 Reorder the terms: -52 + 8 + -8y = 4(4y + -2) + -7 Combine like terms: -52 + 8 = -44 -44 + -8y = 4(4y + -2) + -7 Reorder the terms: -44 + -8y = 4(-2 + 4y) + -7 -44 + -8y = (-2 * 4 + 4y * 4) + -7 -44 + -8y = (-8 + 16y) + -7 Reorder the terms: -44 + -8y = -8 + -7 + 16y Combine like terms: -8 + -7 = -15 -44 + -8y = -15 + 16y Solving -44 + -8y = -15 + 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. -44 + -8y + -16y = -15 + 16y + -16y Combine like terms: -8y + -16y = -24y -44 + -24y = -15 + 16y + -16y Combine like terms: 16y + -16y = 0 -44 + -24y = -15 + 0 -44 + -24y = -15 Add '44' to each side of the equation. -44 + 44 + -24y = -15 + 44 Combine like terms: -44 + 44 = 0 0 + -24y = -15 + 44 -24y = -15 + 44 Combine like terms: -15 + 44 = 29 -24y = 29 Divide each side by '-24'. y = -1.208333333 Simplifying y = -1.208333333
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