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Simplifying -2(3y + 2) + -4(4y + 8) + -10y = 0 Reorder the terms: -2(2 + 3y) + -4(4y + 8) + -10y = 0 (2 * -2 + 3y * -2) + -4(4y + 8) + -10y = 0 (-4 + -6y) + -4(4y + 8) + -10y = 0 Reorder the terms: -4 + -6y + -4(8 + 4y) + -10y = 0 -4 + -6y + (8 * -4 + 4y * -4) + -10y = 0 -4 + -6y + (-32 + -16y) + -10y = 0 Reorder the terms: -4 + -32 + -6y + -16y + -10y = 0 Combine like terms: -4 + -32 = -36 -36 + -6y + -16y + -10y = 0 Combine like terms: -6y + -16y = -22y -36 + -22y + -10y = 0 Combine like terms: -22y + -10y = -32y -36 + -32y = 0 Solving -36 + -32y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -32y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -32y = 0 + 36 -32y = 0 + 36 Combine like terms: 0 + 36 = 36 -32y = 36 Divide each side by '-32'. y = -1.125 Simplifying y = -1.125
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