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Simplifying 5y + 2(y + -8) = 4(y + -1) + -3 Reorder the terms: 5y + 2(-8 + y) = 4(y + -1) + -3 5y + (-8 * 2 + y * 2) = 4(y + -1) + -3 5y + (-16 + 2y) = 4(y + -1) + -3 Reorder the terms: -16 + 5y + 2y = 4(y + -1) + -3 Combine like terms: 5y + 2y = 7y -16 + 7y = 4(y + -1) + -3 Reorder the terms: -16 + 7y = 4(-1 + y) + -3 -16 + 7y = (-1 * 4 + y * 4) + -3 -16 + 7y = (-4 + 4y) + -3 Reorder the terms: -16 + 7y = -4 + -3 + 4y Combine like terms: -4 + -3 = -7 -16 + 7y = -7 + 4y Solving -16 + 7y = -7 + 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. -16 + 7y + -4y = -7 + 4y + -4y Combine like terms: 7y + -4y = 3y -16 + 3y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 3y = -7 + 0 -16 + 3y = -7 Add '16' to each side of the equation. -16 + 16 + 3y = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = -7 + 16 3y = -7 + 16 Combine like terms: -7 + 16 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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