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Simplifying 0.8(15y + -20) = 2(2y + 8) Reorder the terms: 0.8(-20 + 15y) = 2(2y + 8) (-20 * 0.8 + 15y * 0.8) = 2(2y + 8) (-16 + 12y) = 2(2y + 8) Reorder the terms: -16 + 12y = 2(8 + 2y) -16 + 12y = (8 * 2 + 2y * 2) -16 + 12y = (16 + 4y) Solving -16 + 12y = 16 + 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. -16 + 12y + -4y = 16 + 4y + -4y Combine like terms: 12y + -4y = 8y -16 + 8y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 8y = 16 + 0 -16 + 8y = 16 Add '16' to each side of the equation. -16 + 16 + 8y = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = 16 + 16 8y = 16 + 16 Combine like terms: 16 + 16 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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