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Simplifying -3y + -8(-8y + 6) = 4 + -4(-7 + -1y) Reorder the terms: -3y + -8(6 + -8y) = 4 + -4(-7 + -1y) -3y + (6 * -8 + -8y * -8) = 4 + -4(-7 + -1y) -3y + (-48 + 64y) = 4 + -4(-7 + -1y) Reorder the terms: -48 + -3y + 64y = 4 + -4(-7 + -1y) Combine like terms: -3y + 64y = 61y -48 + 61y = 4 + -4(-7 + -1y) -48 + 61y = 4 + (-7 * -4 + -1y * -4) -48 + 61y = 4 + (28 + 4y) Combine like terms: 4 + 28 = 32 -48 + 61y = 32 + 4y Solving -48 + 61y = 32 + 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. -48 + 61y + -4y = 32 + 4y + -4y Combine like terms: 61y + -4y = 57y -48 + 57y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 -48 + 57y = 32 + 0 -48 + 57y = 32 Add '48' to each side of the equation. -48 + 48 + 57y = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 57y = 32 + 48 57y = 32 + 48 Combine like terms: 32 + 48 = 80 57y = 80 Divide each side by '57'. y = 1.403508772 Simplifying y = 1.403508772
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