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Simplifying 8(y + -2) = 5 + -1(7y + 3) Reorder the terms: 8(-2 + y) = 5 + -1(7y + 3) (-2 * 8 + y * 8) = 5 + -1(7y + 3) (-16 + 8y) = 5 + -1(7y + 3) Reorder the terms: -16 + 8y = 5 + -1(3 + 7y) -16 + 8y = 5 + (3 * -1 + 7y * -1) -16 + 8y = 5 + (-3 + -7y) Combine like terms: 5 + -3 = 2 -16 + 8y = 2 + -7y Solving -16 + 8y = 2 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -16 + 8y + 7y = 2 + -7y + 7y Combine like terms: 8y + 7y = 15y -16 + 15y = 2 + -7y + 7y Combine like terms: -7y + 7y = 0 -16 + 15y = 2 + 0 -16 + 15y = 2 Add '16' to each side of the equation. -16 + 16 + 15y = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 15y = 2 + 16 15y = 2 + 16 Combine like terms: 2 + 16 = 18 15y = 18 Divide each side by '15'. y = 1.2 Simplifying y = 1.2
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