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Simplifying 3(y + -10) + 1 = -8(y + -8) Reorder the terms: 3(-10 + y) + 1 = -8(y + -8) (-10 * 3 + y * 3) + 1 = -8(y + -8) (-30 + 3y) + 1 = -8(y + -8) Reorder the terms: -30 + 1 + 3y = -8(y + -8) Combine like terms: -30 + 1 = -29 -29 + 3y = -8(y + -8) Reorder the terms: -29 + 3y = -8(-8 + y) -29 + 3y = (-8 * -8 + y * -8) -29 + 3y = (64 + -8y) Solving -29 + 3y = 64 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -29 + 3y + 8y = 64 + -8y + 8y Combine like terms: 3y + 8y = 11y -29 + 11y = 64 + -8y + 8y Combine like terms: -8y + 8y = 0 -29 + 11y = 64 + 0 -29 + 11y = 64 Add '29' to each side of the equation. -29 + 29 + 11y = 64 + 29 Combine like terms: -29 + 29 = 0 0 + 11y = 64 + 29 11y = 64 + 29 Combine like terms: 64 + 29 = 93 11y = 93 Divide each side by '11'. y = 8.454545455 Simplifying y = 8.454545455
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