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Simplifying -5 + (4y + -3) = 8(y + 4) + 1 Reorder the terms: -5 + (-3 + 4y) = 8(y + 4) + 1 Remove parenthesis around (-3 + 4y) -5 + -3 + 4y = 8(y + 4) + 1 Combine like terms: -5 + -3 = -8 -8 + 4y = 8(y + 4) + 1 Reorder the terms: -8 + 4y = 8(4 + y) + 1 -8 + 4y = (4 * 8 + y * 8) + 1 -8 + 4y = (32 + 8y) + 1 Reorder the terms: -8 + 4y = 32 + 1 + 8y Combine like terms: 32 + 1 = 33 -8 + 4y = 33 + 8y Solving -8 + 4y = 33 + 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. -8 + 4y + -8y = 33 + 8y + -8y Combine like terms: 4y + -8y = -4y -8 + -4y = 33 + 8y + -8y Combine like terms: 8y + -8y = 0 -8 + -4y = 33 + 0 -8 + -4y = 33 Add '8' to each side of the equation. -8 + 8 + -4y = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 33 + 8 -4y = 33 + 8 Combine like terms: 33 + 8 = 41 -4y = 41 Divide each side by '-4'. y = -10.25 Simplifying y = -10.25
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