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Simplifying -6y + -8(8y + 5) = 1 + 4(-4 + -1y) Reorder the terms: -6y + -8(5 + 8y) = 1 + 4(-4 + -1y) -6y + (5 * -8 + 8y * -8) = 1 + 4(-4 + -1y) -6y + (-40 + -64y) = 1 + 4(-4 + -1y) Reorder the terms: -40 + -6y + -64y = 1 + 4(-4 + -1y) Combine like terms: -6y + -64y = -70y -40 + -70y = 1 + 4(-4 + -1y) -40 + -70y = 1 + (-4 * 4 + -1y * 4) -40 + -70y = 1 + (-16 + -4y) Combine like terms: 1 + -16 = -15 -40 + -70y = -15 + -4y Solving -40 + -70y = -15 + -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. -40 + -70y + 4y = -15 + -4y + 4y Combine like terms: -70y + 4y = -66y -40 + -66y = -15 + -4y + 4y Combine like terms: -4y + 4y = 0 -40 + -66y = -15 + 0 -40 + -66y = -15 Add '40' to each side of the equation. -40 + 40 + -66y = -15 + 40 Combine like terms: -40 + 40 = 0 0 + -66y = -15 + 40 -66y = -15 + 40 Combine like terms: -15 + 40 = 25 -66y = 25 Divide each side by '-66'. y = -0.3787878788 Simplifying y = -0.3787878788
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