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Simplifying -5y + 8(-8y + -6) = 3 + -1(-8 + -1y) Reorder the terms: -5y + 8(-6 + -8y) = 3 + -1(-8 + -1y) -5y + (-6 * 8 + -8y * 8) = 3 + -1(-8 + -1y) -5y + (-48 + -64y) = 3 + -1(-8 + -1y) Reorder the terms: -48 + -5y + -64y = 3 + -1(-8 + -1y) Combine like terms: -5y + -64y = -69y -48 + -69y = 3 + -1(-8 + -1y) -48 + -69y = 3 + (-8 * -1 + -1y * -1) -48 + -69y = 3 + (8 + 1y) Combine like terms: 3 + 8 = 11 -48 + -69y = 11 + 1y Solving -48 + -69y = 11 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -48 + -69y + -1y = 11 + 1y + -1y Combine like terms: -69y + -1y = -70y -48 + -70y = 11 + 1y + -1y Combine like terms: 1y + -1y = 0 -48 + -70y = 11 + 0 -48 + -70y = 11 Add '48' to each side of the equation. -48 + 48 + -70y = 11 + 48 Combine like terms: -48 + 48 = 0 0 + -70y = 11 + 48 -70y = 11 + 48 Combine like terms: 11 + 48 = 59 -70y = 59 Divide each side by '-70'. y = -0.8428571429 Simplifying y = -0.8428571429
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