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Simplifying -53 + 8y + 5 = 4(4y + -2) + -8 Reorder the terms: -53 + 5 + 8y = 4(4y + -2) + -8 Combine like terms: -53 + 5 = -48 -48 + 8y = 4(4y + -2) + -8 Reorder the terms: -48 + 8y = 4(-2 + 4y) + -8 -48 + 8y = (-2 * 4 + 4y * 4) + -8 -48 + 8y = (-8 + 16y) + -8 Reorder the terms: -48 + 8y = -8 + -8 + 16y Combine like terms: -8 + -8 = -16 -48 + 8y = -16 + 16y Solving -48 + 8y = -16 + 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. -48 + 8y + -16y = -16 + 16y + -16y Combine like terms: 8y + -16y = -8y -48 + -8y = -16 + 16y + -16y Combine like terms: 16y + -16y = 0 -48 + -8y = -16 + 0 -48 + -8y = -16 Add '48' to each side of the equation. -48 + 48 + -8y = -16 + 48 Combine like terms: -48 + 48 = 0 0 + -8y = -16 + 48 -8y = -16 + 48 Combine like terms: -16 + 48 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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