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Simplifying 8(2y + -1) + -17(3 + -1y) = 16(-3y + -2) Reorder the terms: 8(-1 + 2y) + -17(3 + -1y) = 16(-3y + -2) (-1 * 8 + 2y * 8) + -17(3 + -1y) = 16(-3y + -2) (-8 + 16y) + -17(3 + -1y) = 16(-3y + -2) -8 + 16y + (3 * -17 + -1y * -17) = 16(-3y + -2) -8 + 16y + (-51 + 17y) = 16(-3y + -2) Reorder the terms: -8 + -51 + 16y + 17y = 16(-3y + -2) Combine like terms: -8 + -51 = -59 -59 + 16y + 17y = 16(-3y + -2) Combine like terms: 16y + 17y = 33y -59 + 33y = 16(-3y + -2) Reorder the terms: -59 + 33y = 16(-2 + -3y) -59 + 33y = (-2 * 16 + -3y * 16) -59 + 33y = (-32 + -48y) Solving -59 + 33y = -32 + -48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48y' to each side of the equation. -59 + 33y + 48y = -32 + -48y + 48y Combine like terms: 33y + 48y = 81y -59 + 81y = -32 + -48y + 48y Combine like terms: -48y + 48y = 0 -59 + 81y = -32 + 0 -59 + 81y = -32 Add '59' to each side of the equation. -59 + 59 + 81y = -32 + 59 Combine like terms: -59 + 59 = 0 0 + 81y = -32 + 59 81y = -32 + 59 Combine like terms: -32 + 59 = 27 81y = 27 Divide each side by '81'. y = 0.3333333333 Simplifying y = 0.3333333333
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