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Simplifying -103 + 6y + 2 = 4(4y + -4) + -5 Reorder the terms: -103 + 2 + 6y = 4(4y + -4) + -5 Combine like terms: -103 + 2 = -101 -101 + 6y = 4(4y + -4) + -5 Reorder the terms: -101 + 6y = 4(-4 + 4y) + -5 -101 + 6y = (-4 * 4 + 4y * 4) + -5 -101 + 6y = (-16 + 16y) + -5 Reorder the terms: -101 + 6y = -16 + -5 + 16y Combine like terms: -16 + -5 = -21 -101 + 6y = -21 + 16y Solving -101 + 6y = -21 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -101 + 6y + -16y = -21 + 16y + -16y Combine like terms: 6y + -16y = -10y -101 + -10y = -21 + 16y + -16y Combine like terms: 16y + -16y = 0 -101 + -10y = -21 + 0 -101 + -10y = -21 Add '101' to each side of the equation. -101 + 101 + -10y = -21 + 101 Combine like terms: -101 + 101 = 0 0 + -10y = -21 + 101 -10y = -21 + 101 Combine like terms: -21 + 101 = 80 -10y = 80 Divide each side by '-10'. y = -8 Simplifying y = -8
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