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Simplifying 4(-4y + -2) = 3(-2y + 3) + -47 Reorder the terms: 4(-2 + -4y) = 3(-2y + 3) + -47 (-2 * 4 + -4y * 4) = 3(-2y + 3) + -47 (-8 + -16y) = 3(-2y + 3) + -47 Reorder the terms: -8 + -16y = 3(3 + -2y) + -47 -8 + -16y = (3 * 3 + -2y * 3) + -47 -8 + -16y = (9 + -6y) + -47 Reorder the terms: -8 + -16y = 9 + -47 + -6y Combine like terms: 9 + -47 = -38 -8 + -16y = -38 + -6y Solving -8 + -16y = -38 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -8 + -16y + 6y = -38 + -6y + 6y Combine like terms: -16y + 6y = -10y -8 + -10y = -38 + -6y + 6y Combine like terms: -6y + 6y = 0 -8 + -10y = -38 + 0 -8 + -10y = -38 Add '8' to each side of the equation. -8 + 8 + -10y = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -10y = -38 + 8 -10y = -38 + 8 Combine like terms: -38 + 8 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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