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Simplifying 8(9y + -4) + -1(8y + 4) = (8y + -8) Reorder the terms: 8(-4 + 9y) + -1(8y + 4) = (8y + -8) (-4 * 8 + 9y * 8) + -1(8y + 4) = (8y + -8) (-32 + 72y) + -1(8y + 4) = (8y + -8) Reorder the terms: -32 + 72y + -1(4 + 8y) = (8y + -8) -32 + 72y + (4 * -1 + 8y * -1) = (8y + -8) -32 + 72y + (-4 + -8y) = (8y + -8) Reorder the terms: -32 + -4 + 72y + -8y = (8y + -8) Combine like terms: -32 + -4 = -36 -36 + 72y + -8y = (8y + -8) Combine like terms: 72y + -8y = 64y -36 + 64y = (8y + -8) Reorder the terms: -36 + 64y = (-8 + 8y) Remove parenthesis around (-8 + 8y) -36 + 64y = -8 + 8y Solving -36 + 64y = -8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -36 + 64y + -8y = -8 + 8y + -8y Combine like terms: 64y + -8y = 56y -36 + 56y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + 56y = -8 + 0 -36 + 56y = -8 Add '36' to each side of the equation. -36 + 36 + 56y = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 56y = -8 + 36 56y = -8 + 36 Combine like terms: -8 + 36 = 28 56y = 28 Divide each side by '56'. y = 0.5 Simplifying y = 0.5
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