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Simplifying 3(y + -10) + 1 = -4(y + -8) Reorder the terms: 3(-10 + y) + 1 = -4(y + -8) (-10 * 3 + y * 3) + 1 = -4(y + -8) (-30 + 3y) + 1 = -4(y + -8) Reorder the terms: -30 + 1 + 3y = -4(y + -8) Combine like terms: -30 + 1 = -29 -29 + 3y = -4(y + -8) Reorder the terms: -29 + 3y = -4(-8 + y) -29 + 3y = (-8 * -4 + y * -4) -29 + 3y = (32 + -4y) Solving -29 + 3y = 32 + -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. -29 + 3y + 4y = 32 + -4y + 4y Combine like terms: 3y + 4y = 7y -29 + 7y = 32 + -4y + 4y Combine like terms: -4y + 4y = 0 -29 + 7y = 32 + 0 -29 + 7y = 32 Add '29' to each side of the equation. -29 + 29 + 7y = 32 + 29 Combine like terms: -29 + 29 = 0 0 + 7y = 32 + 29 7y = 32 + 29 Combine like terms: 32 + 29 = 61 7y = 61 Divide each side by '7'. y = 8.714285714 Simplifying y = 8.714285714
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